876401600 has 168 divisors, whose sum is σ = 2297948160. Its totient is φ = 328043520.

The previous prime is 876401599. The next prime is 876401633. The reversal of 876401600 is 6104678.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 3860687 + ... + 3860913.

Almost surely, 2^876401600 is an apocalyptic number.

876401600 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 876401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148974080).

876401600 is an abundant number, since it is smaller than the sum of its proper divisors (1421546560).

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

876401600 is a wasteful number, since it uses less digits than its factorization.

876401600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 876401600 is about 29604.0807997816. The cubic root of 876401600 is about 956.9760169157.

The spelling of 876401600 in words is "eight hundred seventy-six million, four hundred one thousand, six hundred".