889072800 has 576 divisors, whose sum is σ = 3833754624. Its totient is φ = 173260800.

The previous prime is 889072787. The next prime is 889072819. The reversal of 889072800 is 8270988.

It is a happy number.

889072800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 3141459 + ... + 3141741.

It is an arithmetic number, because the mean of its divisors is an integer number (6655824).

Almost surely, 2^889072800 is an apocalyptic number.

889072800 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 889072800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1916877312).

889072800 is an abundant number, since it is smaller than the sum of its proper divisors (2944681824).

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

889072800 is a wasteful number, since it uses less digits than its factorization.

889072800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The square root of 889072800 is about 29817.3238235761. The cubic root of 889072800 is about 961.5660203958.

The spelling of 889072800 in words is "eight hundred eighty-nine million, seventy-two thousand, eight hundred".