77772 has 12 divisors (see below), whose sum is σ = 181496. Its totient is φ = 25920.

The previous prime is 77761. The next prime is 77773. The reversal of 77772 is 27777.

It is a tau number, because it is divible by the number of its divisors (12).

It is a nialpdrome in base 10.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 77772.

It is not an unprimeable number, because it can be changed into a prime (77773) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3229 + ... + 3252.

2⁷⁷⁷⁷² is an apocalyptic number.

It is an amenable number.

77772 is an abundant number, since it is smaller than the sum of its proper divisors (103724).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90748).

77772 is a wasteful number, since it uses less digits than its factorization.

77772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6488 (or 6486 counting only the distinct ones).

The product of its digits is 4802, while the sum is 30.

The square root of 77772 is about 278.8763166710. The cubic root of 77772 is about 42.6849151541.

The spelling of 77772 in words is "seventy-seven thousand, seven hundred seventy-two", and thus it is an iban number.