76311648 has 72 divisors (see below), whose sum is σ = 248019408. Its totient is φ = 21802752.

The previous prime is 76311647. The next prime is 76311659. The reversal of 76311648 is 84611367.

76311648 is a `hidden beast` number, since 7 + 6 + 3 + 1 + 1 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×76311648³ (a number of 25 digits) contains 333 as substring.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76311643) 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, 16911 + ... + 20942.

It is an arithmetic number, because the mean of its divisors is an integer number (3444714).

Almost surely, 2^76311648 is an apocalyptic number.

It is an amenable number.

76311648 is an abundant number, since it is smaller than the sum of its proper divisors (171707760).

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

76311648 is a wasteful number, since it uses less digits than its factorization.

76311648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37876 (or 37865 counting only the distinct ones).

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

The square root of 76311648 is about 8735.6538392956. The cubic root of 76311648 is about 424.1605538871.

The spelling of 76311648 in words is "seventy-six million, three hundred eleven thousand, six hundred forty-eight".