7972890 has 32 divisors (see below), whose sum is σ = 19754496. Its totient is φ = 2057280.

The previous prime is 7972889. The next prime is 7972903. The reversal of 7972890 is 982797.

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3357 + ... + 5216.

It is an arithmetic number, because the mean of its divisors is an integer number (617328).

Almost surely, 2^7972890 is an apocalyptic number.

7972890 is an abundant number, since it is smaller than the sum of its proper divisors (11781606).

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

7972890 is a wasteful number, since it uses less digits than its factorization.

7972890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8614.

The product of its (nonzero) digits is 63504, while the sum is 42.

The square root of 7972890 is about 2823.6306415677. The cubic root of 7972890 is about 199.7738276601.

The spelling of 7972890 in words is "seven million, nine hundred seventy-two thousand, eight hundred ninety".