1372876800 has 312 divisors, whose sum is σ = 4692460080. Its totient is φ = 353894400.

The previous prime is 1372876741. The next prime is 1372876807. The reversal of 1372876800 is 86782731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1372876807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12595146 + ... + 12595254.

Almost surely, 2^1372876800 is an apocalyptic number.

1372876800 is a gapful number since it is divisible by the number (10) 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 1372876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2346230040).

1372876800 is an abundant number, since it is smaller than the sum of its proper divisors (3319583280).

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

1372876800 is a wasteful number, since it uses less digits than its factorization.

1372876800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 1372876800 is about 37052.3521520564. The cubic root of 1372876800 is about 1111.4173923056.

The spelling of 1372876800 in words is "one billion, three hundred seventy-two million, eight hundred seventy-six thousand, eight hundred".