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772740 = 2236553
BaseRepresentation
bin10111100101010000100
31110021000000
42330222010
5144211430
624321300
76365613
oct2745204
91407000
10772740
11488631
12313230
13210957
1416187a
15103e60
hexbca84

772740 has 84 divisors (see below), whose sum is σ = 2478924. Its totient is φ = 202176.

The previous prime is 772721. The next prime is 772757. The reversal of 772740 is 47277.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 419904 + 352836 = 648^2 + 594^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

772740 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 14554 + ... + 14606.

It is an arithmetic number, because the mean of its divisors is an integer number (29511).

2772740 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 772740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239462).

772740 is an abundant number, since it is smaller than the sum of its proper divisors (1706184).

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

772740 is a wasteful number, since it uses less digits than its factorization.

772740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 27.

The square root of 772740 is about 879.0563121894. The cubic root of 772740 is about 91.7651540180.

The spelling of 772740 in words is "seven hundred seventy-two thousand, seven hundred forty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 53 54 60 81 90 106 108 135 159 162 180 212 243 265 270 318 324 405 477 486 530 540 636 729 795 810 954 972 1060 1215 1431 1458 1590 1620 1908 2385 2430 2862 2916 3180 3645 4293 4770 4860 5724 7155 7290 8586 9540 12879 14310 14580 17172 21465 25758 28620 38637 42930 51516 64395 77274 85860 128790 154548 193185 257580 386370 772740