376380000 has 480 divisors, whose sum is σ = 1487898720. Its totient is φ = 92160000.

The previous prime is 376379933. The next prime is 376380013. The reversal of 376380000 is 83673.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9179980 + ... + 9180020.

It is an arithmetic number, because the mean of its divisors is an integer number (3099789).

Almost surely, 2^376380000 is an apocalyptic number.

376380000 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 376380000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743949360).

376380000 is an abundant number, since it is smaller than the sum of its proper divisors (1111518720).

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

376380000 is a wasteful number, since it uses less digits than its factorization.

376380000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 376380000 is about 19400.5154570697. The cubic root of 376380000 is about 722.0082820186.

The spelling of 376380000 in words is "three hundred seventy-six million, three hundred eighty thousand".