870334080 has 576 divisors, whose sum is σ = 3646075680. Its totient is φ = 174612480.

The previous prime is 870334067. The next prime is 870334081. The reversal of 870334080 is 80433078.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (870334081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30011506 + ... + 30011534.

Almost surely, 2^870334080 is an apocalyptic number.

870334080 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 870334080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1823037840).

870334080 is an abundant number, since it is smaller than the sum of its proper divisors (2775741600).

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

870334080 is a wasteful number, since it uses less digits than its factorization.

870334080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 870334080 is about 29501.4250503260. The cubic root of 870334080 is about 954.7624492532.

The spelling of 870334080 in words is "eight hundred seventy million, three hundred thirty-four thousand, eighty".