876380000 has 120 divisors (see below), whose sum is σ = 2231848080. Its totient is φ = 338240000.

The previous prime is 876379993. The next prime is 876380027. The reversal of 876380000 is 83678.

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 19 ways as a sum of consecutive naturals, for example, 579245 + ... + 580755.

It is an arithmetic number, because the mean of its divisors is an integer number (18598734).

Almost surely, 2^876380000 is an apocalyptic number.

876380000 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 876380000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115924040).

876380000 is an abundant number, since it is smaller than the sum of its proper divisors (1355468080).

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

876380000 is a wasteful number, since it uses less digits than its factorization.

876380000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1570 (or 1547 counting only the distinct ones).

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

The square root of 876380000 is about 29603.7159829640. The cubic root of 876380000 is about 956.9681548991.

The spelling of 876380000 in words is "eight hundred seventy-six million, three hundred eighty thousand".