870744000 has 448 divisors, whose sum is σ = 3377866752. Its totient is φ = 193536000.

The previous prime is 870743983. The next prime is 870744001. The reversal of 870744000 is 447078.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×870744000² = 1516390227072000000, which contains 22 as substring.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (870744001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11927964 + ... + 11928036.

Almost surely, 2^870744000 is an apocalyptic number.

870744000 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 870744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1688933376).

870744000 is an abundant number, since it is smaller than the sum of its proper divisors (2507122752).

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

870744000 is a wasteful number, since it uses less digits than its factorization.

870744000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 870744000 is about 29508.3716934703. The cubic root of 870744000 is about 954.9123207425.

The spelling of 870744000 in words is "eight hundred seventy million, seven hundred forty-four thousand".