870854400 has 324 divisors, whose sum is σ = 3355884168. Its totient is φ = 214179840.

The previous prime is 870854389. The next prime is 870854419. The reversal of 870854400 is 4458078.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 748219 + ... + 749381.

Almost surely, 2^870854400 is an apocalyptic number.

870854400 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 870854400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1677942084).

870854400 is an abundant number, since it is smaller than the sum of its proper divisors (2485029768).

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

870854400 is a wasteful number, since it uses less digits than its factorization.

870854400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 870854400 is about 29510.2422897542. The cubic root of 870854400 is about 954.9526762182.

The spelling of 870854400 in words is "eight hundred seventy million, eight hundred fifty-four thousand, four hundred".