8079998400 has 336 divisors, whose sum is σ = 30018837600. Its totient is φ = 2113413120.

The previous prime is 8079998383. The next prime is 8079998401. The reversal of 8079998400 is 48999708.

8079998400 is a `hidden beast` number, since 80 + 79 + 9 + 98 + 400 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8079998401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2287836 + ... + 2291364.

Almost surely, 2^8079998400 is an apocalyptic number.

8079998400 is a gapful number since it is divisible by the number (80) 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 8079998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15009418800).

8079998400 is an abundant number, since it is smaller than the sum of its proper divisors (21938839200).

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

8079998400 is a wasteful number, since it uses less digits than its factorization.

8079998400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3613 (or 3592 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 8079998400 is about 89888.8113170933. The cubic root of 8079998400 is about 2006.6444346324.

The spelling of 8079998400 in words is "eight billion, seventy-nine million, nine hundred ninety-eight thousand, four hundred".