77264 has 20 divisors (see below), whose sum is σ = 163680. Its totient is φ = 35040.

The previous prime is 77263. The next prime is 77267. The reversal of 77264 is 46277.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77261) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 44 + ... + 395.

It is an arithmetic number, because the mean of its divisors is an integer number (8184).

2⁷⁷²⁶⁴ is an apocalyptic number.

It is an amenable number.

77264 is an abundant number, since it is smaller than the sum of its proper divisors (86416).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81840).

77264 is a wasteful number, since it uses less digits than its factorization.

77264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 452 counting only the distinct ones).

The product of its digits is 2352, while the sum is 26.

The square root of 77264 is about 277.9640264495. The cubic root of 77264 is about 42.5917740000.

The spelling of 77264 in words is "seventy-seven thousand, two hundred sixty-four".