8779492800 has 672 divisors, whose sum is σ = 35072685760. Its totient is φ = 2149908480.

The previous prime is 8779492789. The next prime is 8779492819. The reversal of 8779492800 is 82949778.

8779492800 is a `hidden beast` number, since 8 + 7 + 79 + 492 + 80 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45489504 + ... + 45489696.

Almost surely, 2^8779492800 is an apocalyptic number.

8779492800 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 8779492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17536342880).

8779492800 is an abundant number, since it is smaller than the sum of its proper divisors (26293192960).

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

8779492800 is a wasteful number, since it uses less digits than its factorization.

8779492800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The square root of 8779492800 is about 93698.9476995340. The cubic root of 8779492800 is about 2062.9552581806.

The spelling of 8779492800 in words is "eight billion, seven hundred seventy-nine million, four hundred ninety-two thousand, eight hundred".