76614048 has 216 divisors, whose sum is σ = 260491140. Its totient is φ = 21288960.

The previous prime is 76614047. The next prime is 76614049. The reversal of 76614048 is 84041667.

It is an interprime number because it is at equal distance from previous prime (76614047) and next prime (76614049).

It can be written as a sum of positive squares in 2 ways, for example, as 61027344 + 15586704 = 7812^2 + 3948^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (76614047) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 860788 + ... + 860876.

Almost surely, 2^76614048 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 76614048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130245570).

76614048 is an abundant number, since it is smaller than the sum of its proper divisors (183877092).

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

76614048 is a wasteful number, since it uses less digits than its factorization.

76614048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 76614048 is about 8752.9451043634. The cubic root of 76614048 is about 424.7200888126.

The spelling of 76614048 in words is "seventy-six million, six hundred fourteen thousand, forty-eight".