876002400 has 648 divisors, whose sum is σ = 3890001024. Its totient is φ = 183859200.

The previous prime is 876002377. The next prime is 876002419. The reversal of 876002400 is 4200678.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4586305 + ... + 4586495.

It is an arithmetic number, because the mean of its divisors is an integer number (6003088).

Almost surely, 2^876002400 is an apocalyptic number.

876002400 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 876002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1945000512).

876002400 is an abundant number, since it is smaller than the sum of its proper divisors (3013998624).

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

876002400 is a wasteful number, since it uses less digits than its factorization.

876002400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 876002400 is about 29597.3377181124. The cubic root of 876002400 is about 956.8306943282.

It can be divided in two parts, 87600 and 2400, that added together give a square (90000 = 300²).

The spelling of 876002400 in words is "eight hundred seventy-six million, two thousand, four hundred".