677655040 has 80 divisors (see below), whose sum is σ = 1677392640. Its totient is φ = 262287360.

The previous prime is 677655029. The next prime is 677655067. The reversal of 677655040 is 40556776.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 677654984 and 677655002.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75091 + ... + 83629.

It is an arithmetic number, because the mean of its divisors is an integer number (20967408).

Almost surely, 2^677655040 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 677655040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838696320).

677655040 is an abundant number, since it is smaller than the sum of its proper divisors (999737600).

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

677655040 is an equidigital number, since it uses as much as digits as its factorization.

677655040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8593 (or 8577 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 40.

The square root of 677655040 is about 26031.8082353109. The cubic root of 677655040 is about 878.3539477495.

It can be divided in two parts, 6776 and 55040, that added together give a palindrome (61816).

The spelling of 677655040 in words is "six hundred seventy-seven million, six hundred fifty-five thousand, forty".