7881960 has 64 divisors (see below), whose sum is σ = 24897600. Its totient is φ = 1990656.

The previous prime is 7881959. The next prime is 7881961. The reversal of 7881960 is 691887.

It is an interprime number because it is at equal distance from previous prime (7881959) and next prime (7881961).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7881961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 552 + ... + 4008.

It is an arithmetic number, because the mean of its divisors is an integer number (389025).

Almost surely, 2^7881960 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 7881960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12448800).

7881960 is an abundant number, since it is smaller than the sum of its proper divisors (17015640).

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

7881960 is a wasteful number, since it uses less digits than its factorization.

7881960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3490 (or 3486 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 7881960 is about 2807.4828583626. The cubic root of 7881960 is about 199.0114552802.

The spelling of 7881960 in words is "seven million, eight hundred eighty-one thousand, nine hundred sixty".