870430080 has 256 divisors, whose sum is σ = 3061175040. Its totient is φ = 209018880.

The previous prime is 870430061. The next prime is 870430097. The reversal of 870430080 is 80034078.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1072875 + ... + 1073685.

It is an arithmetic number, because the mean of its divisors is an integer number (11957715).

Almost surely, 2^870430080 is an apocalyptic number.

870430080 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 870430080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530587520).

870430080 is an abundant number, since it is smaller than the sum of its proper divisors (2190744960).

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

870430080 is a wasteful number, since it uses less digits than its factorization.

870430080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 870430080 is about 29503.0520455088. The cubic root of 870430080 is about 954.7975521818.

The spelling of 870430080 in words is "eight hundred seventy million, four hundred thirty thousand, eighty".