874802880 has 252 divisors, whose sum is σ = 3500780400. Its totient is φ = 199922688.

The previous prime is 874802843. The next prime is 874802911. The reversal of 874802880 is 88208478.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 138021 + ... + 144219.

Almost surely, 2^874802880 is an apocalyptic number.

874802880 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 874802880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1750390200).

874802880 is an abundant number, since it is smaller than the sum of its proper divisors (2625977520).

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

874802880 is a wasteful number, since it uses less digits than its factorization.

874802880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6236 (or 6216 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The square root of 874802880 is about 29577.0667916885. The cubic root of 874802880 is about 956.3937618025.

The spelling of 874802880 in words is "eight hundred seventy-four million, eight hundred two thousand, eight hundred eighty".