76113648 has 80 divisors (see below), whose sum is σ = 235297440. Its totient is φ = 23417856.

The previous prime is 76113643. The next prime is 76113679. The reversal of 76113648 is 84631167.

76113648 is a `hidden beast` number, since 7 + 6 + 1 + 1 + 3 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76113643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1161 + ... + 12392.

It is an arithmetic number, because the mean of its divisors is an integer number (2941218).

Almost surely, 2^76113648 is an apocalyptic number.

76113648 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 76113648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117648720).

76113648 is an abundant number, since it is smaller than the sum of its proper divisors (159183792).

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

76113648 is a wasteful number, since it uses less digits than its factorization.

76113648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13583 (or 13571 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 76113648 is about 8724.3136119697. The cubic root of 76113648 is about 423.7933904977.

The spelling of 76113648 in words is "seventy-six million, one hundred thirteen thousand, six hundred forty-eight".