381277800 has 96 divisors (see below), whose sum is σ = 1313308800. Its totient is φ = 101672640.

The previous prime is 381277783. The next prime is 381277801. The reversal of 381277800 is 8772183.

381277800 is a `hidden beast` number, since 381 + 277 + 8 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (381277801) 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, 29904 + ... + 40703.

It is an arithmetic number, because the mean of its divisors is an integer number (13680300).

Almost surely, 2^381277800 is an apocalyptic number.

381277800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

381277800 is an abundant number, since it is smaller than the sum of its proper divisors (932031000).

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

381277800 is a wasteful number, since it uses less digits than its factorization.

381277800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70632 (or 70617 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 381277800 is about 19526.3360618422. The cubic root of 381277800 is about 725.1266049213.

The spelling of 381277800 in words is "three hundred eighty-one million, two hundred seventy-seven thousand, eight hundred".