7958920 has 64 divisors (see below), whose sum is σ = 19232640. Its totient is φ = 2956800.

The previous prime is 7958917. The next prime is 7958921. The reversal of 7958920 is 298597.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (7958921) by changing a digit.

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, 37615 + ... + 37825.

It is an arithmetic number, because the mean of its divisors is an integer number (300510).

Almost surely, 2^7958920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7958920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9616320).

7958920 is an abundant number, since it is smaller than the sum of its proper divisors (11273720).

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

7958920 is a wasteful number, since it uses less digits than its factorization.

7958920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 40.

The square root of 7958920 is about 2821.1557915152. The cubic root of 7958920 is about 199.6570790288.

The spelling of 7958920 in words is "seven million, nine hundred fifty-eight thousand, nine hundred twenty".