76277376 has 160 divisors (see below), whose sum is σ = 259675680. Its totient is φ = 21772800.

The previous prime is 76277347. The next prime is 76277393. The reversal of 76277376 is 67377267.

76277376 is a `hidden beast` number, since 7 + 6 + 277 + 376 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 72051 + ... + 73101.

It is an arithmetic number, because the mean of its divisors is an integer number (1622973).

Almost surely, 2^76277376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76277376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129837840).

76277376 is an abundant number, since it is smaller than the sum of its proper divisors (183398304).

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

76277376 is a wasteful number, since it uses less digits than its factorization.

76277376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1063 counting only the distinct ones).

The product of its digits is 518616, while the sum is 45.

The square root of 76277376 is about 8733.6920028130. The cubic root of 76277376 is about 424.0970467309.

The spelling of 76277376 in words is "seventy-six million, two hundred seventy-seven thousand, three hundred seventy-six".