772924320 has 144 divisors (see below), whose sum is σ = 3014444160. Its totient is φ = 176666112.

The previous prime is 772924307. The next prime is 772924343. The reversal of 772924320 is 23429277.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28260 + ... + 48419.

It is an arithmetic number, because the mean of its divisors is an integer number (20933640).

Almost surely, 2^772924320 is an apocalyptic number.

772924320 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

772924320 is an abundant number, since it is smaller than the sum of its proper divisors (2241519840).

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

772924320 is a wasteful number, since it uses less digits than its factorization.

772924320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76707 (or 76696 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 772924320 is about 27801.5165053995. The cubic root of 772924320 is about 917.7244961917.

The spelling of 772924320 in words is "seven hundred seventy-two million, nine hundred twenty-four thousand, three hundred twenty".