870734880 has 192 divisors, whose sum is σ = 3105889920. Its totient is φ = 227755008.

The previous prime is 870734857. The next prime is 870734899. The reversal of 870734880 is 88437078.

It is a super-2 number, since 2×870734880² = 1516358462497228800, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 227059 + ... + 230861.

It is an arithmetic number, because the mean of its divisors is an integer number (16176510).

Almost surely, 2^870734880 is an apocalyptic number.

870734880 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 870734880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552944960).

870734880 is an abundant number, since it is smaller than the sum of its proper divisors (2235155040).

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

870734880 is a wasteful number, since it uses less digits than its factorization.

870734880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3880 (or 3866 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 870734880 is about 29508.2171606487. The cubic root of 870734880 is about 954.9089868768.

The spelling of 870734880 in words is "eight hundred seventy million, seven hundred thirty-four thousand, eight hundred eighty".