7990920 has 192 divisors, whose sum is σ = 31190400. Its totient is φ = 1814400.

The previous prime is 7990919. The next prime is 7990933. The reversal of 7990920 is 290997.

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 47 ways as a sum of consecutive naturals, for example, 52845 + ... + 52995.

It is an arithmetic number, because the mean of its divisors is an integer number (162450).

Almost surely, 2^7990920 is an apocalyptic number.

7990920 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 7990920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15595200).

7990920 is an abundant number, since it is smaller than the sum of its proper divisors (23199480).

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

7990920 is a wasteful number, since it uses less digits than its factorization.

7990920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 7990920 is about 2826.8215366379. The cubic root of 7990920 is about 199.9243046880.

The spelling of 7990920 in words is "seven million, nine hundred ninety thousand, nine hundred twenty".