807370868400 has 720 divisors, whose sum is σ = 2825600899968. Its totient is φ = 196904448000.

The previous prime is 807370868371. The next prime is 807370868411. The reversal of 807370868400 is 4868073708.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2326717027 + ... + 2326717373.

Almost surely, 2^807370868400 is an apocalyptic number.

807370868400 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 807370868400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1412800449984).

807370868400 is an abundant number, since it is smaller than the sum of its proper divisors (2018230031568).

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

807370868400 is a wasteful number, since it uses less digits than its factorization.

807370868400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 51.

The spelling of 807370868400 in words is "eight hundred seven billion, three hundred seventy million, eight hundred sixty-eight thousand, four hundred".