772401456 has 120 divisors (see below), whose sum is σ = 2328708096. Its totient is φ = 238296960.

The previous prime is 772401449. The next prime is 772401463. The reversal of 772401456 is 654104277.

It is an interprime number because it is at equal distance from previous prime (772401449) and next prime (772401463).

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

It is a self number, because there is not a number n which added to its sum of digits gives 772401456.

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, 98911 + ... + 106433.

Almost surely, 2^772401456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 772401456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164354048).

772401456 is an abundant number, since it is smaller than the sum of its proper divisors (1556306640).

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

772401456 is a wasteful number, since it uses less digits than its factorization.

772401456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7591 (or 7582 counting only the distinct ones).

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

The square root of 772401456 is about 27792.1113987405. Note that the first 3 decimals coincide. The cubic root of 772401456 is about 917.5175102767.

The spelling of 772401456 in words is "seven hundred seventy-two million, four hundred one thousand, four hundred fifty-six".