876506400 has 1152 divisors, whose sum is σ = 4319723520. Its totient is φ = 165888000.

The previous prime is 876506341. The next prime is 876506429. The reversal of 876506400 is 4605678.

It is a happy number.

876506400 is a `hidden beast` number, since 8 + 7 + 6 + 5 + 0 + 640 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 28274385 + ... + 28274415.

It is an arithmetic number, because the mean of its divisors is an integer number (3749760).

Almost surely, 2^876506400 is an apocalyptic number.

876506400 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 876506400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2159861760).

876506400 is an abundant number, since it is smaller than the sum of its proper divisors (3443217120).

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

876506400 is a wasteful number, since it uses less digits than its factorization.

876506400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 876506400 is about 29605.8507731158. The cubic root of 876506400 is about 957.0141604218.

The spelling of 876506400 in words is "eight hundred seventy-six million, five hundred six thousand, four hundred".