874874000 has 640 divisors, whose sum is σ = 3119800320. Its totient is φ = 228096000.

The previous prime is 874873997. The next prime is 874874053. The reversal of 874874000 is 478478.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38037989 + ... + 38038011.

It is an arithmetic number, because the mean of its divisors is an integer number (4874688).

Almost surely, 2^874874000 is an apocalyptic number.

874874000 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 874874000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559900160).

874874000 is an abundant number, since it is smaller than the sum of its proper divisors (2244926320).

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

874874000 is a wasteful number, since it uses less digits than its factorization.

874874000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 38.

The square root of 874874000 is about 29578.2690500982. The cubic root of 874874000 is about 956.4196788339.

The spelling of 874874000 in words is "eight hundred seventy-four million, eight hundred seventy-four thousand".