7968870 has 144 divisors (see below), whose sum is σ = 26142480. Its totient is φ = 1669248.

The previous prime is 7968859. The next prime is 7968871. The reversal of 7968870 is 788697.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7968871) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 57261 + ... + 57399.

It is an arithmetic number, because the mean of its divisors is an integer number (181545).

Almost surely, 2^7968870 is an apocalyptic number.

7968870 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 7968870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13071240).

7968870 is an abundant number, since it is smaller than the sum of its proper divisors (18173610).

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

7968870 is a wasteful number, since it uses less digits than its factorization.

7968870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 7968870 is about 2822.9187023363. The cubic root of 7968870 is about 199.7402461190.

The spelling of 7968870 in words is "seven million, nine hundred sixty-eight thousand, eight hundred seventy".