381077760 has 144 divisors (see below), whose sum is σ = 1391031936. Its totient is φ = 87097344.

The previous prime is 381077759. The next prime is 381077771. The reversal of 381077760 is 67770183.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19792 + ... + 33968.

It is an arithmetic number, because the mean of its divisors is an integer number (9659944).

Almost surely, 2^381077760 is an apocalyptic number.

381077760 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 381077760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695515968).

381077760 is an abundant number, since it is smaller than the sum of its proper divisors (1009954176).

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

381077760 is a wasteful number, since it uses less digits than its factorization.

381077760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14208 (or 14194 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 39.

The square root of 381077760 is about 19521.2130770606. The cubic root of 381077760 is about 724.9997685295. Note that the first 3 decimals are identical.

The spelling of 381077760 in words is "three hundred eighty-one million, seventy-seven thousand, seven hundred sixty".