870802358400 has 576 divisors, whose sum is σ = 3470214558720. Its totient is φ = 214348861440.

The previous prime is 870802358389. The next prime is 870802358407. The reversal of 870802358400 is 4853208078.

870802358400 is a `hidden beast` number, since 8 + 7 + 0 + 8 + 0 + 235 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (870802358407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10065729 + ... + 10151871.

Almost surely, 2^870802358400 is an apocalyptic number.

870802358400 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 870802358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1735107279360).

870802358400 is an abundant number, since it is smaller than the sum of its proper divisors (2599412200320).

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

870802358400 is a wasteful number, since it uses less digits than its factorization.

870802358400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86195 (or 86166 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 870802358400 in words is "eight hundred seventy billion, eight hundred two million, three hundred fifty-eight thousand, four hundred".