677430 has 64 divisors (see below), whose sum is σ = 1955520. Its totient is φ = 165888.

The previous prime is 677423. The next prime is 677441. The reversal of 677430 is 34776.

677430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×677430² = 917822809800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 677394 and 677403.

It is a congruent number.

It is an unprimeable number.

677430 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3414 + ... + 3606.

It is an arithmetic number, because the mean of its divisors is an integer number (30555).

2⁶⁷⁷⁴³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 677430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977760).

677430 is an abundant number, since it is smaller than the sum of its proper divisors (1278090).

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

677430 is a wasteful number, since it uses less digits than its factorization.

677430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 677430 is about 823.0613585876. The cubic root of 677430 is about 87.8256707194.

The spelling of 677430 in words is "six hundred seventy-seven thousand, four hundred thirty".