7912920 has 128 divisors (see below), whose sum is σ = 25712640. Its totient is φ = 1943040.

The previous prime is 7912909. The next prime is 7912937. The reversal of 7912920 is 292197.

It is a super-2 number, since 2×7912920² = 125228605852800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129690 + ... + 129750.

It is an arithmetic number, because the mean of its divisors is an integer number (200880).

Almost surely, 2^7912920 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 7912920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12856320).

7912920 is an abundant number, since it is smaller than the sum of its proper divisors (17799720).

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

7912920 is a wasteful number, since it uses less digits than its factorization.

7912920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 7912920 is about 2812.9912904238. The cubic root of 7912920 is about 199.2716843342.

The spelling of 7912920 in words is "seven million, nine hundred twelve thousand, nine hundred twenty".