379276800 has 480 divisors, whose sum is σ = 1534401792. Its totient is φ = 80609280.

The previous prime is 379276789. The next prime is 379276823. The reversal of 379276800 is 8672973.

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 (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4569559 + ... + 4569641.

Almost surely, 2^379276800 is an apocalyptic number.

379276800 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 379276800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767200896).

379276800 is an abundant number, since it is smaller than the sum of its proper divisors (1155124992).

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

379276800 is a wasteful number, since it uses less digits than its factorization.

379276800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 379276800 is about 19475.0301668573. The cubic root of 379276800 is about 723.8558568590.

The spelling of 379276800 in words is "three hundred seventy-nine million, two hundred seventy-six thousand, eight hundred".