677280042 has 120 divisors (see below), whose sum is σ = 1650231396. Its totient is φ = 207432576.

The previous prime is 677280029. The next prime is 677280047. The reversal of 677280042 is 240082776.

677280042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 666724041 + 10556001 = 25821^2 + 3249^2 .

It is a junction number, because it is equal to n+sod(n) for n = 677279979 and 677280006.

It is not an unprimeable number, because it can be changed into a prime (677280047) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2163678 + ... + 2163990.

Almost surely, 2^677280042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 677280042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825115698).

677280042 is an abundant number, since it is smaller than the sum of its proper divisors (972951354).

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

677280042 is a wasteful number, since it uses less digits than its factorization.

677280042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 677280042 is about 26024.6045503097. The cubic root of 677280042 is about 878.1918978715.

The spelling of 677280042 in words is "six hundred seventy-seven million, two hundred eighty thousand, forty-two".