379020720 has 320 divisors, whose sum is σ = 1349913600. Its totient is φ = 87306240.

The previous prime is 379020713. The next prime is 379020743. The reversal of 379020720 is 27020973.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5338285 + ... + 5338355.

It is an arithmetic number, because the mean of its divisors is an integer number (4218480).

Almost surely, 2^379020720 is an apocalyptic number.

379020720 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 379020720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674956800).

379020720 is an abundant number, since it is smaller than the sum of its proper divisors (970892880).

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

379020720 is a wasteful number, since it uses less digits than its factorization.

379020720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 30.

The square root of 379020720 is about 19468.4544841135. The cubic root of 379020720 is about 723.6929092513.

The spelling of 379020720 in words is "three hundred seventy-nine million, twenty thousand, seven hundred twenty".