376080000 has 160 divisors (see below), whose sum is σ = 1249100160. Its totient is φ = 100224000.

The previous prime is 376079989. The next prime is 376080037. The reversal of 376080000 is 80673.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 19 ways as a sum of consecutive naturals, for example, 239217 + ... + 240783.

It is an arithmetic number, because the mean of its divisors is an integer number (7806876).

Almost surely, 2^376080000 is an apocalyptic number.

376080000 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 376080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624550080).

376080000 is an abundant number, since it is smaller than the sum of its proper divisors (873020160).

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

376080000 is an equidigital number, since it uses as much as digits as its factorization.

376080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 376080000 is about 19392.7821624438. The cubic root of 376080000 is about 721.8164014202.

The spelling of 376080000 in words is "three hundred seventy-six million, eighty thousand".