376376000 has 448 divisors, whose sum is σ = 1278111744. Its totient is φ = 105984000.

The previous prime is 376375981. The next prime is 376376009. The reversal of 376376000 is 673673.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (376376009) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 8007977 + ... + 8008023.

It is an arithmetic number, because the mean of its divisors is an integer number (2852928).

Almost surely, 2^376376000 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 376376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639055872).

376376000 is an abundant number, since it is smaller than the sum of its proper divisors (901735744).

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

376376000 is a wasteful number, since it uses less digits than its factorization.

376376000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 32.

The square root of 376376000 is about 19400.4123667514. The cubic root of 376376000 is about 722.0057242815.

The spelling of 376376000 in words is "three hundred seventy-six million, three hundred seventy-six thousand".