2796800 has 108 divisors (see below), whose sum is σ = 7603680. Its totient is φ = 1013760.

The previous prime is 2796797. The next prime is 2796803. The reversal of 2796800 is 86972.

It is an interprime number because it is at equal distance from previous prime (2796797) and next prime (2796803).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2796803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121589 + ... + 121611.

2^2796800 is an apocalyptic number.

2796800 is a gapful number since it is divisible by the number (20) 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 2796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3801840).

2796800 is an abundant number, since it is smaller than the sum of its proper divisors (4806880).

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

2796800 is a wasteful number, since it uses less digits than its factorization.

2796800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 2796800 is about 1672.3635968293. The cubic root of 2796800 is about 140.8922604689.

The spelling of 2796800 in words is "two million, seven hundred ninety-six thousand, eight hundred".