677772 has 36 divisors (see below), whose sum is σ = 1745016. Its totient is φ = 221760.

The previous prime is 677767. The next prime is 677779. The reversal of 677772 is 277776.

It is a happy number.

677772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (677779) 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, 2272 + ... + 2552.

2⁶⁷⁷⁷⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 677772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872508).

677772 is an abundant number, since it is smaller than the sum of its proper divisors (1067244).

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

677772 is a wasteful number, since it uses less digits than its factorization.

677772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 353 counting only the distinct ones).

The product of its digits is 28812, while the sum is 36.

The square root of 677772 is about 823.2690933103. The cubic root of 677772 is about 87.8404478065.

The spelling of 677772 in words is "six hundred seventy-seven thousand, seven hundred seventy-two".