772689456 has 480 divisors, whose sum is σ = 2924812800. Its totient is φ = 191600640.

The previous prime is 772689443. The next prime is 772689469. The reversal of 772689456 is 654986277.

It is an interprime number because it is at equal distance from previous prime (772689443) and next prime (772689469).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 95 ways as a sum of consecutive naturals, for example, 8681860 + ... + 8681948.

It is an arithmetic number, because the mean of its divisors is an integer number (6093360).

Almost surely, 2^772689456 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 772689456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462406400).

772689456 is an abundant number, since it is smaller than the sum of its proper divisors (2152123344).

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

772689456 is a wasteful number, since it uses less digits than its factorization.

772689456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 141 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The square root of 772689456 is about 27797.2922422311. The cubic root of 772689456 is about 917.6315322469.

The spelling of 772689456 in words is "seven hundred seventy-two million, six hundred eighty-nine thousand, four hundred fifty-six".