7996800 has 288 divisors, whose sum is σ = 32442120. Its totient is φ = 1720320.

The previous prime is 7996789. The next prime is 7996823. The reversal of 7996800 is 86997.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 470392 + ... + 470408.

Almost surely, 2^7996800 is an apocalyptic number.

7996800 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 7996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16221060).

7996800 is an abundant number, since it is smaller than the sum of its proper divisors (24445320).

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

7996800 is a wasteful number, since it uses less digits than its factorization.

7996800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 7996800 is about 2827.8613827414. The cubic root of 7996800 is about 199.9733297770.

The spelling of 7996800 in words is "seven million, nine hundred ninety-six thousand, eight hundred".