7964800 has 96 divisors (see below), whose sum is σ = 20869200. Its totient is φ = 2995200.

The previous prime is 7964791. The next prime is 7964807. The reversal of 7964800 is 84697.

It is not an unprimeable number, because it can be changed into a prime (7964807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60735 + ... + 60865.

Almost surely, 2^7964800 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 7964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10434600).

7964800 is an abundant number, since it is smaller than the sum of its proper divisors (12904400).

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

7964800 is a wasteful number, since it uses less digits than its factorization.

7964800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 7964800 is about 2822.1977251780. The cubic root of 7964800 is about 199.7062353897.

The spelling of 7964800 in words is "seven million, nine hundred sixty-four thousand, eight hundred".