76269828096 has 720 divisors, whose sum is σ = 289436467320. Its totient is φ = 19787120640.

The previous prime is 76269828091. The next prime is 76269828127. The reversal of 76269828096 is 69082896267.

76269828096 is a `hidden beast` number, since 7 + 6 + 269 + 8 + 280 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76269828091) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 89413206 + ... + 89414058.

Almost surely, 2^76269828096 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 76269828096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144718233660).

76269828096 is an abundant number, since it is smaller than the sum of its proper divisors (213166639224).

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

76269828096 is a wasteful number, since it uses less digits than its factorization.

76269828096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 76269828096 in words is "seventy-six billion, two hundred sixty-nine million, eight hundred twenty-eight thousand, ninety-six".