7864080 has 160 divisors (see below), whose sum is σ = 28950528. Its totient is φ = 1728000.

The previous prime is 7864069. The next prime is 7864093. The reversal of 7864080 is 804687.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52005 + ... + 52155.

Almost surely, 2^7864080 is an apocalyptic number.

7864080 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7864080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14475264).

7864080 is an abundant number, since it is smaller than the sum of its proper divisors (21086448).

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

7864080 is a wasteful number, since it uses less digits than its factorization.

7864080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 7864080 is about 2804.2967032752. The cubic root of 7864080 is about 198.8608574226.

The spelling of 7864080 in words is "seven million, eight hundred sixty-four thousand, eighty".