876830400 has 168 divisors, whose sum is σ = 3196529040. Its totient is φ = 233809920.

The previous prime is 876830371. The next prime is 876830419. The reversal of 876830400 is 4038678.

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

It is an unprimeable number.

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, 33052 + ... + 53348.

Almost surely, 2^876830400 is an apocalyptic number.

876830400 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 876830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1598264520).

876830400 is an abundant number, since it is smaller than the sum of its proper divisors (2319698640).

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

876830400 is a wasteful number, since it uses less digits than its factorization.

876830400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20328 (or 20307 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 876830400 is about 29611.3221589310. The cubic root of 876830400 is about 957.1320657749.

The spelling of 876830400 in words is "eight hundred seventy-six million, eight hundred thirty thousand, four hundred".