379678080 has 128 divisors (see below), whose sum is σ = 1249459200. Its totient is φ = 97966080.

The previous prime is 379678027. The next prime is 379678087. The reversal of 379678080 is 80876973.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379678087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56331 + ... + 62709.

It is an arithmetic number, because the mean of its divisors is an integer number (9761400).

Almost surely, 2^379678080 is an apocalyptic number.

379678080 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 379678080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624729600).

379678080 is an abundant number, since it is smaller than the sum of its proper divisors (869781120).

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

379678080 is a wasteful number, since it uses less digits than its factorization.

379678080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6432 (or 6420 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 379678080 is about 19485.3298663379. The cubic root of 379678080 is about 724.1110499866. Note that the first 3 decimals are identical.

The spelling of 379678080 in words is "three hundred seventy-nine million, six hundred seventy-eight thousand, eighty".