7869960 has 160 divisors (see below), whose sum is σ = 30317760. Its totient is φ = 1793664.

The previous prime is 7869941. The next prime is 7870007. The reversal of 7869960 is 699687.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22507 + ... + 22853.

It is an arithmetic number, because the mean of its divisors is an integer number (189486).

Almost surely, 2^7869960 is an apocalyptic number.

7869960 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

7869960 is the 1620-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7869960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15158880).

7869960 is an abundant number, since it is smaller than the sum of its proper divisors (22447800).

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

7869960 is a wasteful number, since it uses less digits than its factorization.

7869960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 7869960 is about 2805.3448985820. The cubic root of 7869960 is about 198.9104080601.

The spelling of 7869960 in words is "seven million, eight hundred sixty-nine thousand, nine hundred sixty".