7920312 has 32 divisors (see below), whose sum is σ = 19870080. Its totient is φ = 2630880.

The previous prime is 7920287. The next prime is 7920313. The reversal of 7920312 is 2130297.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7920313) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 12237 + ... + 12867.

It is an arithmetic number, because the mean of its divisors is an integer number (620940).

Almost surely, 2^7920312 is an apocalyptic number.

It is an amenable number.

7920312 is an abundant number, since it is smaller than the sum of its proper divisors (11949768).

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

7920312 is a wasteful number, since it uses less digits than its factorization.

7920312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 7920312 is about 2814.3048875344. The cubic root of 7920312 is about 199.3337161272. Note that the first 3 decimals are identical.

The spelling of 7920312 in words is "seven million, nine hundred twenty thousand, three hundred twelve".