7966980 has 72 divisors (see below), whose sum is σ = 27623232. Its totient is φ = 1820736.

The previous prime is 7966979. The next prime is 7967009. The reversal of 7966980 is 896697.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1902 + ... + 4421.

It is an arithmetic number, because the mean of its divisors is an integer number (383656).

Almost surely, 2^7966980 is an apocalyptic number.

7966980 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

7966980 is an abundant number, since it is smaller than the sum of its proper divisors (19656252).

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

7966980 is a wasteful number, since it uses less digits than its factorization.

7966980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6345 (or 6340 counting only the distinct ones).

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

The square root of 7966980 is about 2822.5839225787. The cubic root of 7966980 is about 199.7244538794.

It can be divided in two parts, 796 and 6980, that added together give a 5-th power (7776 = 6⁵).

The spelling of 7966980 in words is "seven million, nine hundred sixty-six thousand, nine hundred eighty".