76235742 has 80 divisors (see below), whose sum is σ = 188179200. Its totient is φ = 22876560.

The previous prime is 76235713. The next prime is 76235743. The reversal of 76235742 is 24753267.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 76235697 and 76235706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76235743) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 318859 + ... + 319097.

It is an arithmetic number, because the mean of its divisors is an integer number (2352240).

Almost surely, 2^76235742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76235742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94089600).

76235742 is an abundant number, since it is smaller than the sum of its proper divisors (111943458).

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

76235742 is a wasteful number, since it uses less digits than its factorization.

76235742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 434 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 76235742 is about 8731.3081494127. The cubic root of 76235742 is about 424.0198719475.

The spelling of 76235742 in words is "seventy-six million, two hundred thirty-five thousand, seven hundred forty-two".