876038800 has 240 divisors, whose sum is σ = 2658079872. Its totient is φ = 270028800.

The previous prime is 876038797. The next prime is 876038809. The reversal of 876038800 is 8830678.

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

It is not an unprimeable number, because it can be changed into a prime (876038809) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1492107 + ... + 1492693.

Almost surely, 2^876038800 is an apocalyptic number.

876038800 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 876038800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329039936).

876038800 is an abundant number, since it is smaller than the sum of its proper divisors (1782041072).

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

876038800 is a wasteful number, since it uses less digits than its factorization.

876038800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 876038800 is about 29597.9526318967. The cubic root of 876038800 is about 956.8439470144.

The spelling of 876038800 in words is "eight hundred seventy-six million, thirty-eight thousand, eight hundred".