876467200 has 264 divisors, whose sum is σ = 2554524992. Its totient is φ = 291962880.

The previous prime is 876467197. The next prime is 876467213. The reversal of 876467200 is 2764678.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12006364 + ... + 12006436.

Almost surely, 2^876467200 is an apocalyptic number.

876467200 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 876467200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1277262496).

876467200 is an abundant number, since it is smaller than the sum of its proper divisors (1678057792).

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

876467200 is a wasteful number, since it uses less digits than its factorization.

876467200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The square root of 876467200 is about 29605.1887344094. The cubic root of 876467200 is about 956.9998933594. Note that the first 3 decimals are identical.

The spelling of 876467200 in words is "eight hundred seventy-six million, four hundred sixty-seven thousand, two hundred".