772401930496 has 405 divisors, whose sum is σ = 1931011727631. Its totient is φ = 308291429376.

The previous prime is 772401930493. The next prime is 772401930527. The reversal of 772401930496 is 694039104277.

The square root of 772401930496 is 878864.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×772401930496² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (772401930493) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 13091558115 + ... + 13091558173.

Almost surely, 2^772401930496 is an apocalyptic number.

772401930496 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

772401930496 is the 878864-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 772401930496

772401930496 is an abundant number, since it is smaller than the sum of its proper divisors (1158609797135).

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

772401930496 is an frugal number, since it uses more digits than its factorization.

772401930496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 52.

The spelling of 772401930496 in words is "seven hundred seventy-two billion, four hundred one million, nine hundred thirty thousand, four hundred ninety-six".