772337664 has 312 divisors, whose sum is σ = 2647593312. Its totient is φ = 212336640.

The previous prime is 772337651. The next prime is 772337717. The reversal of 772337664 is 466733277.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (889056) is a multiple of the sum of its prime divisors (126).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10579932 + ... + 10580004.

It is an arithmetic number, because the mean of its divisors is an integer number (8485876).

Almost surely, 2^772337664 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 772337664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323796656).

772337664 is an abundant number, since it is smaller than the sum of its proper divisors (1875255648).

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

772337664 is a wasteful number, since it uses less digits than its factorization.

772337664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 126 counting only the distinct ones).

The product of its digits is 889056, while the sum is 45.

The square root of 772337664 is about 27790.9637112497. The cubic root of 772337664 is about 917.4922505761.

The spelling of 772337664 in words is "seven hundred seventy-two million, three hundred thirty-seven thousand, six hundred sixty-four".