890870400 has 480 divisors, whose sum is σ = 3764803680. Its totient is φ = 203212800.

The previous prime is 890870377. The next prime is 890870411. The reversal of 890870400 is 4078098.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1814155 + ... + 1814645.

It is an arithmetic number, because the mean of its divisors is an integer number (7843341).

Almost surely, 2^890870400 is an apocalyptic number.

890870400 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 890870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1882401840).

890870400 is an abundant number, since it is smaller than the sum of its proper divisors (2873933280).

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

890870400 is a wasteful number, since it uses less digits than its factorization.

890870400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 890870400 is about 29847.4521525707. The cubic root of 890870400 is about 962.2136416917.

The spelling of 890870400 in words is "eight hundred ninety million, eight hundred seventy thousand, four hundred".