7980364800 has 396 divisors, whose sum is σ = 30093847680. Its totient is φ = 2014986240.

The previous prime is 7980364787. The next prime is 7980364801. The reversal of 7980364800 is 84630897.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7980364801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4376689 + ... + 4378511.

Almost surely, 2^7980364800 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 7980364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15046923840).

7980364800 is an abundant number, since it is smaller than the sum of its proper divisors (22113482880).

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

7980364800 is a wasteful number, since it uses less digits than its factorization.

7980364800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1878 (or 1852 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 7980364800 is about 89332.8875610769. The cubic root of 7980364800 is about 1998.3623928207.

The spelling of 7980364800 in words is "seven billion, nine hundred eighty million, three hundred sixty-four thousand, eight hundred".