76001088 has 84 divisors (see below), whose sum is σ = 209426048. Its totient is φ = 24299520.

The previous prime is 76001087. The next prime is 76001111. The reversal of 76001088 is 88010067.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76001087) 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, 672520 + ... + 672632.

Almost surely, 2^76001088 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 76001088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104713024).

76001088 is an abundant number, since it is smaller than the sum of its proper divisors (133424960).

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

76001088 is a wasteful number, since it uses less digits than its factorization.

76001088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 76001088 is about 8717.8602879376. The cubic root of 76001088 is about 423.5843797211.

The spelling of 76001088 in words is "seventy-six million, one thousand, eighty-eight".