2878800 has 60 divisors (see below), whose sum is σ = 9225600. Its totient is φ = 767360.

The previous prime is 2878793. The next prime is 2878819. The reversal of 2878800 is 88782.

2878800 is a nontrivial binomial coefficient, being equal to C(2400, 2).

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1 + ... + 2399.

It is an arithmetic number, because the mean of its divisors is an integer number (153760).

2^2878800 is an apocalyptic number.

2878800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2878800 is the 2399-th triangular number and also the 1200-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2878800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4612800).

2878800 is an abundant number, since it is smaller than the sum of its proper divisors (6346800).

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

2878800 is a wasteful number, since it uses less digits than its factorization.

2878800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2420 (or 2409 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 2878800 is about 1696.7026846210. The cubic root of 2878800 is about 142.2559689161.

The spelling of 2878800 in words is "two million, eight hundred seventy-eight thousand, eight hundred".