7976944800 has 1080 divisors, whose sum is σ = 34573537152. Its totient is φ = 1772928000.

The previous prime is 7976944771. The next prime is 7976944823. The reversal of 7976944800 is 84496797.

It is a happy number.

7976944800 is a `hidden beast` number, since 7 + 9 + 76 + 94 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 257320785 + ... + 257320815.

Almost surely, 2^7976944800 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 7976944800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17286768576).

7976944800 is an abundant number, since it is smaller than the sum of its proper divisors (26596592352).

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

7976944800 is a wasteful number, since it uses less digits than its factorization.

7976944800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 7976944800 is about 89313.7436232521. The cubic root of 7976944800 is about 1998.0768847399.

The spelling of 7976944800 in words is "seven billion, nine hundred seventy-six million, nine hundred forty-four thousand, eight hundred".