874720800 has 216 divisors, whose sum is σ = 3184796160. Its totient is φ = 225676800.

The previous prime is 874720799. The next prime is 874720813. The reversal of 874720800 is 8027478.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 221241 + ... + 225159.

Almost surely, 2^874720800 is an apocalyptic number.

874720800 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 874720800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592398080).

874720800 is an abundant number, since it is smaller than the sum of its proper divisors (2310075360).

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

874720800 is a wasteful number, since it uses less digits than its factorization.

874720800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3976 (or 3960 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 874720800 is about 29575.6791976110. The cubic root of 874720800 is about 956.3638490618.

The spelling of 874720800 in words is "eight hundred seventy-four million, seven hundred twenty thousand, eight hundred".