874737200 has 120 divisors (see below), whose sum is σ = 2227982400. Its totient is φ = 329114880.

The previous prime is 874737187. The next prime is 874737203. The reversal of 874737200 is 2737478.

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

It is not an unprimeable number, because it can be changed into a prime (874737203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1360079 + ... + 1360721.

It is an arithmetic number, because the mean of its divisors is an integer number (18566520).

Almost surely, 2^874737200 is an apocalyptic number.

874737200 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 874737200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113991200).

874737200 is an abundant number, since it is smaller than the sum of its proper divisors (1353245200).

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

874737200 is a wasteful number, since it uses less digits than its factorization.

874737200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 38.

The square root of 874737200 is about 29575.9564511446. The cubic root of 874737200 is about 956.3698259286.

The spelling of 874737200 in words is "eight hundred seventy-four million, seven hundred thirty-seven thousand, two hundred".