772511040 has 448 divisors, whose sum is σ = 3186501120. Its totient is φ = 172523520.

The previous prime is 772511023. The next prime is 772511057. The reversal of 772511040 is 40115277.

It is an interprime number because it is at equal distance from previous prime (772511023) and next prime (772511057).

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a junction number, because it is equal to n+sod(n) for n = 772510995 and 772511013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3205320 + ... + 3205560.

Almost surely, 2^772511040 is an apocalyptic number.

772511040 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 772511040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1593250560).

772511040 is an abundant number, since it is smaller than the sum of its proper divisors (2413990080).

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

772511040 is a wasteful number, since it uses less digits than its factorization.

772511040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 772511040 is about 27794.0828235076. The cubic root of 772511040 is about 917.5608989763.

The spelling of 772511040 in words is "seven hundred seventy-two million, five hundred eleven thousand, forty".