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79680980 = 22529374779
BaseRepresentation
bin1001011111111…
…01010111010100
312112221012202102
410233331113110
5130344242410
611523501232
71655164031
oct457752724
9175835672
1079680980
1140a83555
1222827818
131367b112
14a822388
156ede2a5
hex4bfd5d4

79680980 has 96 divisors (see below), whose sum is σ = 183859200. Its totient is φ = 28933632.

The previous prime is 79680977. The next prime is 79681001. The reversal of 79680980 is 8908697.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1008581 + ... + 1008659.

It is an arithmetic number, because the mean of its divisors is an integer number (1915200).

Almost surely, 279680980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79680980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91929600).

79680980 is an abundant number, since it is smaller than the sum of its proper divisors (104178220).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

79680980 is a wasteful number, since it uses less digits than its factorization.

79680980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 47.

The square root of 79680980 is about 8926.4203351624. The cubic root of 79680980 is about 430.3134185163.

The spelling of 79680980 in words is "seventy-nine million, six hundred eighty thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 29 37 47 58 74 79 94 116 145 148 158 185 188 235 290 316 370 395 470 580 740 790 940 1073 1363 1580 1739 2146 2291 2726 2923 3478 3713 4292 4582 5365 5452 5846 6815 6956 7426 8695 9164 10730 11455 11692 13630 14615 14852 17390 18565 21460 22910 27260 29230 34780 37130 45820 50431 58460 74260 84767 100862 107677 137381 169534 201724 215354 252155 274762 339068 423835 430708 504310 538385 549524 686905 847670 1008620 1076770 1373810 1695340 2153540 2747620 3984049 7968098 15936196 19920245 39840490 79680980