380872800 has 576 divisors, whose sum is σ = 1724889600. Its totient is φ = 78796800.

The previous prime is 380872769. The next prime is 380872829. The reversal of 380872800 is 8278083.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1663086 + ... + 1663314.

It is an arithmetic number, because the mean of its divisors is an integer number (2994600).

Almost surely, 2^380872800 is an apocalyptic number.

380872800 is a gapful number since it is divisible by the number (30) 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 380872800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862444800).

380872800 is an abundant number, since it is smaller than the sum of its proper divisors (1344016800).

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

380872800 is a wasteful number, since it uses less digits than its factorization.

380872800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 380872800 is about 19515.9626972384. The cubic root of 380872800 is about 724.8697665399.

The spelling of 380872800 in words is "three hundred eighty million, eight hundred seventy-two thousand, eight hundred".