804800102400 has 1632 divisors, whose sum is σ = 3557413739520. Its totient is φ = 174399160320.

The previous prime is 804800102371. The next prime is 804800102411. The reversal of 804800102400 is 4201008408.

804800102400 is a `hidden beast` number, since 80 + 4 + 80 + 0 + 102 + 400 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 7122124744 + ... + 7122124856.

Almost surely, 2^804800102400 is an apocalyptic number.

804800102400 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 804800102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1778706869760).

804800102400 is an abundant number, since it is smaller than the sum of its proper divisors (2752613637120).

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

804800102400 is a wasteful number, since it uses less digits than its factorization.

804800102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The spelling of 804800102400 in words is "eight hundred four billion, eight hundred million, one hundred two thousand, four hundred".