7956400 has 30 divisors (see below), whose sum is σ = 19116212. Its totient is φ = 3182400.

The previous prime is 7956379. The next prime is 7956401. The reversal of 7956400 is 46597.

It is not an unprimeable number, because it can be changed into a prime (7956401) 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 5 ways as a sum of consecutive naturals, for example, 9546 + ... + 10345.

Almost surely, 2^7956400 is an apocalyptic number.

It is an amenable number.

7956400 is an abundant number, since it is smaller than the sum of its proper divisors (11159812).

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

7956400 is a wasteful number, since it uses less digits than its factorization.

7956400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19909 (or 19898 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 7956400 is about 2820.7091306975. The cubic root of 7956400 is about 199.6360046053.

The spelling of 7956400 in words is "seven million, nine hundred fifty-six thousand, four hundred".