76381760 has 224 divisors, whose sum is σ = 232818432. Its totient is φ = 23224320.

The previous prime is 76381759. The next prime is 76381763. The reversal of 76381760 is 6718367.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (76381763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1252130 + ... + 1252190.

It is an arithmetic number, because the mean of its divisors is an integer number (1039368).

Almost surely, 2^76381760 is an apocalyptic number.

76381760 is a gapful number since it is divisible by the number (70) 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 76381760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116409216).

76381760 is an abundant number, since it is smaller than the sum of its proper divisors (156436672).

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

76381760 is a wasteful number, since it uses less digits than its factorization.

76381760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 38.

The square root of 76381760 is about 8739.6658975043. The cubic root of 76381760 is about 424.2904145423.

The spelling of 76381760 in words is "seventy-six million, three hundred eighty-one thousand, seven hundred sixty".