874801800 has 144 divisors (see below), whose sum is σ = 3092622000. Its totient is φ = 220993920.

The previous prime is 874801799. The next prime is 874801801. The reversal of 874801800 is 8108478.

It is an interprime number because it is at equal distance from previous prime (874801799) and next prime (874801801).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (874801801) by changing a digit.

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, 21411 + ... + 46989.

Almost surely, 2^874801800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 874801800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546311000).

874801800 is an abundant number, since it is smaller than the sum of its proper divisors (2217820200).

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

874801800 is a wasteful number, since it uses less digits than its factorization.

874801800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25620 (or 25608 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 874801800 is about 29577.0485342943. The cubic root of 874801800 is about 956.3933682260.

It can be divided in two parts, 87480 and 1800, that multiplied together give a cube (157464000 = 540³).

The spelling of 874801800 in words is "eight hundred seventy-four million, eight hundred one thousand, eight hundred".