874285200 has 180 divisors, whose sum is σ = 3166225920. Its totient is φ = 222984960.

The previous prime is 874285151. The next prime is 874285213. The reversal of 874285200 is 2582478.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×874285200² = 1528749221878080000, which contains 22 as substring.

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

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, 77521 + ... + 88079.

It is an arithmetic number, because the mean of its divisors is an integer number (17590144).

Almost surely, 2^874285200 is an apocalyptic number.

874285200 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 874285200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583112960).

874285200 is an abundant number, since it is smaller than the sum of its proper divisors (2291940720).

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

874285200 is a wasteful number, since it uses less digits than its factorization.

874285200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10606 (or 10592 counting only the distinct ones).

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

The square root of 874285200 is about 29568.3141217081. The cubic root of 874285200 is about 956.2050702970.

The spelling of 874285200 in words is "eight hundred seventy-four million, two hundred eighty-five thousand, two hundred".