772163416400 has 60 divisors (see below), whose sum is σ = 1864835476224. Its totient is φ = 307248240000.

The previous prime is 772163416399. The next prime is 772163416433. The reversal of 772163416400 is 4614361277.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4977026 + ... + 5129825.

Almost surely, 2^772163416400 is an apocalyptic number.

It is an amenable number.

772163416400 is an abundant number, since it is smaller than the sum of its proper divisors (1092672059824).

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

772163416400 is a wasteful number, since it uses less digits than its factorization.

772163416400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10107060 (or 10107049 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 41.

Adding to 772163416400 its reverse (4614361277), we get a palindrome (776777777677).

The spelling of 772163416400 in words is "seven hundred seventy-two billion, one hundred sixty-three million, four hundred sixteen thousand, four hundred".