798919413062400 has 4320 divisors, whose sum is σ = 3552816185072000. Its totient is φ = 176980466073600.

The previous prime is 798919413062389. The next prime is 798919413062423. The reversal of 798919413062400 is 4260314919897.

798919413062400 is a `hidden beast` number, since 7 + 9 + 8 + 9 + 1 + 94 + 130 + 6 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 791793273096 + ... + 791793274104.

Almost surely, 2^{798919413062400} is an apocalyptic number.

798919413062400 is a gapful number since it is divisible by the number (70) 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 798919413062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1776408092536000).

798919413062400 is an abundant number, since it is smaller than the sum of its proper divisors (2753896772009600).

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

798919413062400 is a wasteful number, since it uses less digits than its factorization.

798919413062400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 798919413062400 in words is "seven hundred ninety-eight trillion, nine hundred nineteen billion, four hundred thirteen million, sixty-two thousand, four hundred".