7979212800 has 840 divisors, whose sum is σ = 32692800756. Its totient is φ = 1911029760.

The previous prime is 7979212793. The next prime is 7979212867. The reversal of 7979212800 is 82129797.

It can be written as a sum of positive squares in 6 ways, for example, as 3121680384 + 4857532416 = 55872^2 + 69696^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 215654382 + ... + 215654418.

Almost surely, 2^7979212800 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 7979212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16346400378).

7979212800 is an abundant number, since it is smaller than the sum of its proper divisors (24713587956).

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

7979212800 is a wasteful number, since it uses less digits than its factorization.

7979212800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 7979212800 is about 89326.4395349999. The cubic root of 7979212800 is about 1998.2662307898.

The spelling of 7979212800 in words is "seven billion, nine hundred seventy-nine million, two hundred twelve thousand, eight hundred".