870407208000 has 1680 divisors, whose sum is σ = 3753319922352. Its totient is φ = 198291456000.

The previous prime is 870407207993. The next prime is 870407208029. The reversal of 870407208000 is 802704078.

It can be written as a sum of positive squares in 8 ways, for example, as 276558188544 + 593849019456 = 525888^2 + 770616^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 1332935674 + ... + 1332936326.

Almost surely, 2^870407208000 is an apocalyptic number.

870407208000 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 870407208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1876659961176).

870407208000 is an abundant number, since it is smaller than the sum of its proper divisors (2882912714352).

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

870407208000 is a wasteful number, since it uses less digits than its factorization.

870407208000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The spelling of 870407208000 in words is "eight hundred seventy billion, four hundred seven million, two hundred eight thousand".