873275400 has 144 divisors (see below), whose sum is σ = 3004534260. Its totient is φ = 227174400.

The previous prime is 873275393. The next prime is 873275407. The reversal of 873275400 is 4572378.

873275400 is a `hidden beast` number, since 87 + 32 + 7 + 540 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (873275393) and next prime (873275407).

It can be written as a sum of positive squares in 6 ways, for example, as 306740196 + 566535204 = 17514^2 + 23802^2 .

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 (873275407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 67884 + ... + 79716.

Almost surely, 2^873275400 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 873275400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502267130).

873275400 is an abundant number, since it is smaller than the sum of its proper divisors (2131258860).

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

873275400 is a wasteful number, since it uses less digits than its factorization.

873275400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11896 (or 11884 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 873275400 is about 29551.2334767942. The cubic root of 873275400 is about 955.8367893037.

The spelling of 873275400 in words is "eight hundred seventy-three million, two hundred seventy-five thousand, four hundred".