76148688 has 120 divisors (see below), whose sum is σ = 247248064. Its totient is φ = 19768320.

The previous prime is 76148671. The next prime is 76148689. The reversal of 76148688 is 88684167.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 (76148689) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39720 + ... + 41592.

Almost surely, 2^76148688 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 76148688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123624032).

76148688 is an abundant number, since it is smaller than the sum of its proper divisors (171099376).

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

76148688 is a wasteful number, since it uses less digits than its factorization.

76148688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1913 (or 1896 counting only the distinct ones).

The product of its digits is 516096, while the sum is 48.

The square root of 76148688 is about 8726.3215618037. The cubic root of 76148688 is about 423.8584136248.

The spelling of 76148688 in words is "seventy-six million, one hundred forty-eight thousand, six hundred eighty-eight".