379886760 has 576 divisors, whose sum is σ = 1568548800. Its totient is φ = 82114560.

The previous prime is 379886753. The next prime is 379886761. The reversal of 379886760 is 67688973.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 379886697 and 379886706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379886761) 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 143 ways as a sum of consecutive naturals, for example, 19994031 + ... + 19994049.

It is an arithmetic number, because the mean of its divisors is an integer number (2723175).

Almost surely, 2^379886760 is an apocalyptic number.

379886760 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 379886760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784274400).

379886760 is an abundant number, since it is smaller than the sum of its proper divisors (1188662040).

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

379886760 is a wasteful number, since it uses less digits than its factorization.

379886760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 379886760 is about 19490.6839284823. The cubic root of 379886760 is about 724.2436885087.

The spelling of 379886760 in words is "three hundred seventy-nine million, eight hundred eighty-six thousand, seven hundred sixty".