380878080 has 288 divisors, whose sum is σ = 1356300288. Its totient is φ = 90316800.

The previous prime is 380878073. The next prime is 380878093. The reversal of 380878080 is 80878083.

It is a super-2 number, since 2×380878080² = 290136223648972800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2998977 + ... + 2999103.

It is an arithmetic number, because the mean of its divisors is an integer number (4709376).

Almost surely, 2^380878080 is an apocalyptic number.

380878080 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 380878080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678150144).

380878080 is an abundant number, since it is smaller than the sum of its proper divisors (975422208).

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

380878080 is a wasteful number, since it uses less digits than its factorization.

380878080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The square root of 380878080 is about 19516.0979706498. The cubic root of 380878080 is about 724.8731161225.

The spelling of 380878080 in words is "three hundred eighty million, eight hundred seventy-eight thousand, eighty".