772835040 has 96 divisors (see below), whose sum is σ = 2704937760. Its totient is φ = 206088192.

The previous prime is 772835039. The next prime is 772835057. The reversal of 772835040 is 40538277.

772835040 is a `hidden beast` number, since 7 + 72 + 83 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 772834986 and 772835004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85129 + ... + 93768.

It is an arithmetic number, because the mean of its divisors is an integer number (28176435).

Almost surely, 2^772835040 is an apocalyptic number.

It is an amenable number.

772835040 is an abundant number, since it is smaller than the sum of its proper divisors (1932102720).

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

772835040 is a wasteful number, since it uses less digits than its factorization.

772835040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178921 (or 178907 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 772835040 is about 27799.9107912238. The cubic root of 772835040 is about 917.6891595721.

The spelling of 772835040 in words is "seven hundred seventy-two million, eight hundred thirty-five thousand, forty".