379500800 has 216 divisors, whose sum is σ = 1104054336. Its totient is φ = 126443520.

The previous prime is 379500787. The next prime is 379500827. The reversal of 379500800 is 8005973.

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

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 23 ways as a sum of consecutive naturals, for example, 1926302 + ... + 1926498.

Almost surely, 2^379500800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379500800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552027168).

379500800 is an abundant number, since it is smaller than the sum of its proper divisors (724553536).

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

379500800 is a wasteful number, since it uses less digits than its factorization.

379500800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 379500800 is about 19480.7802718474. The cubic root of 379500800 is about 723.9983313454.

The spelling of 379500800 in words is "three hundred seventy-nine million, five hundred thousand, eight hundred".