874876200 has 192 divisors, whose sum is σ = 3001950720. Its totient is φ = 208992000.

The previous prime is 874876199. The next prime is 874876201. The reversal of 874876200 is 2678478.

It is an interprime number because it is at equal distance from previous prime (874876199) and next prime (874876201).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (874876201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 467667 + ... + 469533.

It is an arithmetic number, because the mean of its divisors is an integer number (15635160).

Almost surely, 2^874876200 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 874876200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500975360).

874876200 is an abundant number, since it is smaller than the sum of its proper divisors (2127074520).

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

874876200 is a wasteful number, since it uses less digits than its factorization.

874876200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1968 (or 1959 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 874876200 is about 29578.3062395398. The cubic root of 874876200 is about 956.4204805195.

It can be divided in two parts, 8748 and 76200, that added together give a palindrome (84948).

The spelling of 874876200 in words is "eight hundred seventy-four million, eight hundred seventy-six thousand, two hundred".