77661633 has 16 divisors (see below), whose sum is σ = 118609920. Its totient is φ = 44277456.

The previous prime is 77661629. The next prime is 77661653. The reversal of 77661633 is 33616677.

It is not a de Polignac number, because 77661633 - 2² = 77661629 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 77661591 and 77661600.

It is not an unprimeable number, because it can be changed into a prime (77661653) 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, 5848 + ... + 13766.

It is an arithmetic number, because the mean of its divisors is an integer number (7413120).

Almost surely, 2^77661633 is an apocalyptic number.

It is an amenable number.

77661633 is a deficient number, since it is larger than the sum of its proper divisors (40948287).

77661633 is a wasteful number, since it uses less digits than its factorization.

77661633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8396.

The product of its digits is 95256, while the sum is 39.

The square root of 77661633 is about 8812.5837868357. The cubic root of 77661633 is about 426.6471406944.

The spelling of 77661633 in words is "seventy-seven million, six hundred sixty-one thousand, six hundred thirty-three".