379080000 has 490 divisors, whose sum is σ = 1517759474. Its totient is φ = 93312000.

The previous prime is 379079983. The next prime is 379080073. The reversal of 379080000 is 80973.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 222129216 + 156950784 = 14904^2 + 12528^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 29159994 + ... + 29160006.

Almost surely, 2^379080000 is an apocalyptic number.

379080000 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 379080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758879737).

379080000 is an abundant number, since it is smaller than the sum of its proper divisors (1138679474).

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

379080000 is an frugal number, since it uses more digits than its factorization.

379080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 379080000 is about 19469.9768875055. The cubic root of 379080000 is about 723.7306365460.

The spelling of 379080000 in words is "three hundred seventy-nine million, eighty thousand".