7642980 has 36 divisors (see below), whose sum is σ = 23184252. Its totient is φ = 2038080.

The previous prime is 7642963. The next prime is 7643017. The reversal of 7642980 is 892467.

7642980 is a `hidden beast` number, since 7 + 642 + 9 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5963364 + 1679616 = 2442^2 + 1296^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21051 + ... + 21410.

It is an arithmetic number, because the mean of its divisors is an integer number (644007).

Almost surely, 2^7642980 is an apocalyptic number.

It is an amenable number.

7642980 is an abundant number, since it is smaller than the sum of its proper divisors (15541272).

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

7642980 is a wasteful number, since it uses less digits than its factorization.

7642980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42476 (or 42471 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 7642980 is about 2764.5940027425. The cubic root of 7642980 is about 196.9794442036.

The spelling of 7642980 in words is "seven million, six hundred forty-two thousand, nine hundred eighty".