771264 has 84 divisors (see below), whose sum is σ = 2403856. Its totient is φ = 235008.

The previous prime is 771233. The next prime is 771269. The reversal of 771264 is 462177.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (771269) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7437 + ... + 7539.

2⁷⁷¹²⁶⁴ 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 771264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201928).

771264 is an abundant number, since it is smaller than the sum of its proper divisors (1632592).

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

771264 is a wasteful number, since it uses less digits than its factorization.

771264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 121 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 771264 is about 878.2163742495. The cubic root of 771264 is about 91.7066903276.

It can be divided in two parts, 7712 and 64, that added together give a 5-th power (7776 = 6⁵).

The spelling of 771264 in words is "seven hundred seventy-one thousand, two hundred sixty-four".