379864080 has 300 divisors, whose sum is σ = 1385604396. Its totient is φ = 96422400.

The previous prime is 379864073. The next prime is 379864081. The reversal of 379864080 is 80468973.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 61027344 + 318836736 = 7812^2 + 17856^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (379864081) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6227250 + ... + 6227310.

Almost surely, 2^379864080 is an apocalyptic number.

379864080 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 379864080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692802198).

379864080 is an abundant number, since it is smaller than the sum of its proper divisors (1005740316).

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

379864080 is a wasteful number, since it uses less digits than its factorization.

379864080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 379864080 is about 19490.1021033754. The cubic root of 379864080 is about 724.2292752893.

The spelling of 379864080 in words is "three hundred seventy-nine million, eight hundred sixty-four thousand, eighty".