7869120 has 112 divisors (see below), whose sum is σ = 28578048. Its totient is φ = 1797120.

The previous prime is 7869107. The next prime is 7869131. The reversal of 7869120 is 219687.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6135 + ... + 7305.

Almost surely, 2^7869120 is an apocalyptic number.

7869120 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 7869120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14289024).

7869120 is an abundant number, since it is smaller than the sum of its proper divisors (20708928).

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

7869120 is a wasteful number, since it uses less digits than its factorization.

7869120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 7869120 is about 2805.1951803752. The cubic root of 7869120 is about 198.9033309091.

The spelling of 7869120 in words is "seven million, eight hundred sixty-nine thousand, one hundred twenty".