772161264 has 120 divisors (see below), whose sum is σ = 2475412992. Its totient is φ = 220106880.

The previous prime is 772161259. The next prime is 772161283. The reversal of 772161264 is 462161277.

772161264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

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, 748429 + ... + 749459.

Almost surely, 2^772161264 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 772161264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237706496).

772161264 is an abundant number, since it is smaller than the sum of its proper divisors (1703251728).

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

772161264 is a wasteful number, since it uses less digits than its factorization.

772161264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795 (or 1786 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 772161264 is about 27787.7898365451. The cubic root of 772161264 is about 917.4223942755.

The spelling of 772161264 in words is "seven hundred seventy-two million, one hundred sixty-one thousand, two hundred sixty-four".