677520 has 60 divisors (see below), whose sum is σ = 2277756. Its totient is φ = 180480.

The previous prime is 677473. The next prime is 677531. The reversal of 677520 is 25776.

It can be written as a sum of positive squares in 2 ways, for example, as 331776 + 345744 = 576^2 + 588^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 250 + ... + 1190.

2⁶⁷⁷⁵²⁰ is an apocalyptic number.

677520 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 677520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1138878).

677520 is an abundant number, since it is smaller than the sum of its proper divisors (1600236).

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

677520 is a wasteful number, since it uses less digits than its factorization.

677520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 677520 is about 823.1160307028. The cubic root of 677520 is about 87.8295599086.

The spelling of 677520 in words is "six hundred seventy-seven thousand, five hundred twenty".