77532642 has 24 divisors (see below), whose sum is σ = 183259440. Its totient is φ = 23494680.

The previous prime is 77532641. The next prime is 77532659. The reversal of 77532642 is 24623577.

It is a happy number.

77532642 is a `hidden beast` number, since 7 + 7 + 5 + 3 + 2 + 642 = 666.

It is a super-2 number, since 2×77532642² = 12022621151000328, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 77532597 and 77532606.

It is not an unprimeable number, because it can be changed into a prime (77532641) 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, 195592 + ... + 195987.

It is an arithmetic number, because the mean of its divisors is an integer number (7635810).

Almost surely, 2^77532642 is an apocalyptic number.

77532642 is an abundant number, since it is smaller than the sum of its proper divisors (105726798).

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

77532642 is a wasteful number, since it uses less digits than its factorization.

77532642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391598 (or 391595 counting only the distinct ones).

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

The square root of 77532642 is about 8805.2621766759. The cubic root of 77532642 is about 426.4107986018.

The spelling of 77532642 in words is "seventy-seven million, five hundred thirty-two thousand, six hundred forty-two".