76565742 has 64 divisors (see below), whose sum is σ = 174873600. Its totient is φ = 22135680.

The previous prime is 76565729. The next prime is 76565759. The reversal of 76565742 is 24756567.

It is a junction number, because it is equal to n+sod(n) for n = 76565694 and 76565703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208443 + ... + 208809.

It is an arithmetic number, because the mean of its divisors is an integer number (2732400).

Almost surely, 2^76565742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76565742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87436800).

76565742 is an abundant number, since it is smaller than the sum of its proper divisors (98307858).

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

76565742 is a wasteful number, since it uses less digits than its factorization.

76565742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521.

The product of its digits is 352800, while the sum is 42.

The square root of 76565742 is about 8750.1852551817. The cubic root of 76565742 is about 424.6308064829.

The spelling of 76565742 in words is "seventy-six million, five hundred sixty-five thousand, seven hundred forty-two".