874540800 has 540 divisors, whose sum is σ = 3710849296. Its totient is φ = 199065600.

The previous prime is 874540763. The next prime is 874540813. The reversal of 874540800 is 8045478.

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×874540800² = 1529643221729280000, which contains 22 as substring.

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 polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3628680 + ... + 3628920.

Almost surely, 2^874540800 is an apocalyptic number.

874540800 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 874540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1855424648).

874540800 is an abundant number, since it is smaller than the sum of its proper divisors (2836308496).

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

874540800 is a wasteful number, since it uses less digits than its factorization.

874540800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 258 counting only the distinct ones).

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

The square root of 874540800 is about 29572.6360001945. The cubic root of 874540800 is about 956.2982443941.

The spelling of 874540800 in words is "eight hundred seventy-four million, five hundred forty thousand, eight hundred".