76347648 has 108 divisors (see below), whose sum is σ = 237155100. Its totient is φ = 23482368.

The previous prime is 76347641. The next prime is 76347653. The reversal of 76347648 is 84674367.

76347648 is a `hidden beast` number, since 7 + 634 + 7 + 6 + 4 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 42614784 + 33732864 = 6528^2 + 5808^2 .

It is not an unprimeable number, because it can be changed into a prime (76347641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28678 + ... + 31226.

Almost surely, 2^76347648 is an apocalyptic number.

76347648 is a gapful number since it is divisible by the number (78) 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 76347648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118577550).

76347648 is an abundant number, since it is smaller than the sum of its proper divisors (160807452).

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

76347648 is a wasteful number, since it uses less digits than its factorization.

76347648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2584 (or 2567 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 76347648 is about 8737.7141175481. The cubic root of 76347648 is about 424.2272426115.

The spelling of 76347648 in words is "seventy-six million, three hundred forty-seven thousand, six hundred forty-eight".