79287264 has 144 divisors (see below), whose sum is σ = 261975168. Its totient is φ = 22277376.

The previous prime is 79287253. The next prime is 79287277. The reversal of 79287264 is 46278297.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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, 134779 + ... + 135365.

It is an arithmetic number, because the mean of its divisors is an integer number (1819272).

Almost surely, 2^79287264 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 79287264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130987584).

79287264 is an abundant number, since it is smaller than the sum of its proper divisors (182687904).

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

79287264 is a wasteful number, since it uses less digits than its factorization.

79287264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 666 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 79287264 is about 8904.3396161647. The cubic root of 79287264 is about 429.6034996542.

The spelling of 79287264 in words is "seventy-nine million, two hundred eighty-seven thousand, two hundred sixty-four".