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79680960 = 2632573379
BaseRepresentation
bin1001011111111…
…01010111000000
312112221012201200
410233331113000
5130344242320
611523501200
71655164002
oct457752700
9175835650
1079680960
1140a83537
1222827800
131367b0c8
14a822372
156ede290
hex4bfd5c0

79680960 has 168 divisors, whose sum is σ = 278556720. Its totient is φ = 20901888.

The previous prime is 79680959. The next prime is 79680961. The reversal of 79680960 is 6908697.

It is an interprime number because it is at equal distance from previous prime (79680959) and next prime (79680961).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79680961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 210051 + ... + 210429.

It is a vampire number, since it can be written as 87609096 (with its own digits).

Almost surely, 279680960 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 79680960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139278360).

79680960 is an abundant number, since it is smaller than the sum of its proper divisors (198875760).

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

79680960 is a wasteful number, since it uses less digits than its factorization.

79680960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 79680960 is about 8926.4192148924. The cubic root of 79680960 is about 430.3133825133.

The spelling of 79680960 in words is "seventy-nine million, six hundred eighty thousand, nine hundred sixty".