977772 has 24 divisors (see below), whose sum is σ = 2416176. Its totient is φ = 306688.

The previous prime is 977761. The next prime is 977791. The reversal of 977772 is 277779.

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 977772.

It is an unprimeable number.

977772 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2193 + ... + 2600.

It is an arithmetic number, because the mean of its divisors is an integer number (100674).

2⁹⁷⁷⁷⁷² is an apocalyptic number.

It is an amenable number.

977772 is an abundant number, since it is smaller than the sum of its proper divisors (1438404).

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

977772 is a wasteful number, since it uses less digits than its factorization.

977772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4817 (or 4815 counting only the distinct ones).

The product of its digits is 43218, while the sum is 39.

The square root of 977772 is about 988.8235434090. The cubic root of 977772 is about 99.2535080302.

It can be divided in two parts, 97777 and 2, that added together give a palindrome (97779).

The spelling of 977772 in words is "nine hundred seventy-seven thousand, seven hundred seventy-two".