772817664 has 144 divisors (see below), whose sum is σ = 2181618432. Its totient is φ = 242356224.

The previous prime is 772817659. The next prime is 772817681. The reversal of 772817664 is 466718277.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1183162 + ... + 1183814.

It is an arithmetic number, because the mean of its divisors is an integer number (15150128).

Almost surely, 2^772817664 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 772817664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1090809216).

772817664 is an abundant number, since it is smaller than the sum of its proper divisors (1408800768).

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

772817664 is a wasteful number, since it uses less digits than its factorization.

772817664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 748 counting only the distinct ones).

The product of its digits is 790272, while the sum is 48.

The square root of 772817664 is about 27799.5982704787. The cubic root of 772817664 is about 917.6822819136.

The spelling of 772817664 in words is "seven hundred seventy-two million, eight hundred seventeen thousand, six hundred sixty-four".