76229093934 has 192 divisors, whose sum is σ = 201082976640. Its totient is φ = 20405468160.

The previous prime is 76229093921. The next prime is 76229093951. The reversal of 76229093934 is 43939092267.

76229093934 is a `hidden beast` number, since 7 + 622 + 9 + 0 + 9 + 3 + 9 + 3 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89365452 + ... + 89366304.

It is an arithmetic number, because the mean of its divisors is an integer number (1047307170).

Almost surely, 2^76229093934 is an apocalyptic number.

76229093934 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 76229093934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100541488320).

76229093934 is an abundant number, since it is smaller than the sum of its proper divisors (124853882706).

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

76229093934 is a wasteful number, since it uses less digits than its factorization.

76229093934 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1595 (or 1592 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 76229093934 in words is "seventy-six billion, two hundred twenty-nine million, ninety-three thousand, nine hundred thirty-four".