379081680 has 80 divisors (see below), whose sum is σ = 1180370880. Its totient is φ = 100639744.

The previous prime is 379081669. The next prime is 379081693. The reversal of 379081680 is 86180973.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×379081680² = 287405840223244800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 52531 + ... + 59309.

It is an arithmetic number, because the mean of its divisors is an integer number (14754636).

Almost surely, 2^379081680 is an apocalyptic number.

379081680 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 379081680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590185440).

379081680 is an abundant number, since it is smaller than the sum of its proper divisors (801289200).

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

379081680 is a wasteful number, since it uses less digits than its factorization.

379081680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7028 (or 7022 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 379081680 is about 19470.0200308063. The cubic root of 379081680 is about 723.7317056833.

The spelling of 379081680 in words is "three hundred seventy-nine million, eighty-one thousand, six hundred eighty".