7881264 has 60 divisors (see below), whose sum is σ = 22245600. Its totient is φ = 2604672.

The previous prime is 7881253. The next prime is 7881271. The reversal of 7881264 is 4621887.

It is a super-2 number, since 2×7881264² = 124228644475392, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32857 + ... + 33095.

It is an arithmetic number, because the mean of its divisors is an integer number (370760).

Almost surely, 2^7881264 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 7881264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11122800).

7881264 is an abundant number, since it is smaller than the sum of its proper divisors (14364336).

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

7881264 is a wasteful number, since it uses less digits than its factorization.

7881264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 473 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 7881264 is about 2807.3589011738. The cubic root of 7881264 is about 199.0055973443.

The spelling of 7881264 in words is "seven million, eight hundred eighty-one thousand, two hundred sixty-four".