870790000 has 150 divisors (see below), whose sum is σ = 2218114976. Its totient is φ = 330720000.

The previous prime is 870789979. The next prime is 870790069. The reversal of 870790000 is 97078.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 16429974 + ... + 16430026.

Almost surely, 2^870790000 is an apocalyptic number.

870790000 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 870790000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109057488).

870790000 is an abundant number, since it is smaller than the sum of its proper divisors (1347324976).

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

870790000 is an equidigital number, since it uses as much as digits as its factorization.

870790000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 31.

The square root of 870790000 is about 29509.1511229991. The cubic root of 870790000 is about 954.9291359386.

Multiplying 870790000 by its sum of digits (31), we get a square (26994490000 = 164300²).

870790000 divided by its sum of digits (31) gives a square (28090000 = 5300²).

The spelling of 870790000 in words is "eight hundred seventy million, seven hundred ninety thousand".