870026976000 has 1728 divisors, whose sum is σ = 3906798255360. Its totient is φ = 181016985600.

The previous prime is 870026975999. The next prime is 870026976029. The reversal of 870026976000 is 679620078.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2332511814 + ... + 2332512186.

It is an arithmetic number, because the mean of its divisors is an integer number (2260878620).

Almost surely, 2^870026976000 is an apocalyptic number.

870026976000 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 870026976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1953399127680).

870026976000 is an abundant number, since it is smaller than the sum of its proper divisors (3036771279360).

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

870026976000 is a wasteful number, since it uses less digits than its factorization.

870026976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 870026976000 in words is "eight hundred seventy billion, twenty-six million, nine hundred seventy-six thousand".