799972454400 has 1248 divisors, whose sum is σ = 3252788951040. Its totient is φ = 169303080960.

The previous prime is 799972454399. The next prime is 799972454419. The reversal of 799972454400 is 4454279997.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2887987062 + ... + 2887987338.

Almost surely, 2^799972454400 is an apocalyptic number.

799972454400 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 799972454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626394475520).

799972454400 is an abundant number, since it is smaller than the sum of its proper divisors (2452816496640).

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

799972454400 is a wasteful number, since it uses less digits than its factorization.

799972454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 60.

The spelling of 799972454400 in words is "seven hundred ninety-nine billion, nine hundred seventy-two million, four hundred fifty-four thousand, four hundred".