772913664 has 100 divisors (see below), whose sum is σ = 2307067554. Its totient is φ = 257624064.

The previous prime is 772913651. The next prime is 772913671. The reversal of 772913664 is 466319277.

It can be written as a sum of positive squares in only one way, i.e., 772395264 + 518400 = 27792^2 + 720^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 32154 + ... + 50790.

Almost surely, 2^772913664 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 772913664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153533777).

772913664 is an abundant number, since it is smaller than the sum of its proper divisors (1534153890).

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

772913664 is an equidigital number, since it uses as much as digits as its factorization.

772913664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18667 (or 18642 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 772913664 is about 27801.3248605170. The cubic root of 772913664 is about 917.7202787381.

The spelling of 772913664 in words is "seven hundred seventy-two million, nine hundred thirteen thousand, six hundred sixty-four".