77561132 has 48 divisors (see below), whose sum is σ = 154635264. Its totient is φ = 33720000.

The previous prime is 77561131. The next prime is 77561147. The reversal of 77561132 is 23116577.

It is not an unprimeable number, because it can be changed into a prime (77561131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137483 + ... + 138045.

It is an arithmetic number, because the mean of its divisors is an integer number (3221568).

Almost surely, 2^77561132 is an apocalyptic number.

It is an amenable number.

77561132 is a deficient number, since it is larger than the sum of its proper divisors (77074132).

77561132 is a wasteful number, since it uses less digits than its factorization.

77561132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 708 counting only the distinct ones).

The product of its digits is 8820, while the sum is 32.

The square root of 77561132 is about 8806.8798106935. The cubic root of 77561132 is about 426.4630215779.

It can be divided in two parts, 7756 and 1132, that added together give a palindrome (8888).

The spelling of 77561132 in words is "seventy-seven million, five hundred sixty-one thousand, one hundred thirty-two".