870777600 has 864 divisors, whose sum is σ = 3893084160. Its totient is φ = 165888000.

The previous prime is 870777571. The next prime is 870777613. The reversal of 870777600 is 6777078.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28089585 + ... + 28089615.

Almost surely, 2^870777600 is an apocalyptic number.

870777600 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 870777600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1946542080).

870777600 is an abundant number, since it is smaller than the sum of its proper divisors (3022306560).

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

870777600 is a wasteful number, since it uses less digits than its factorization.

870777600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 115248, while the sum is 42.

The square root of 870777600 is about 29508.9410179356. The cubic root of 870777600 is about 954.9246032049.

The spelling of 870777600 in words is "eight hundred seventy million, seven hundred seventy-seven thousand, six hundred".