677509440 has 112 divisors (see below), whose sum is σ = 2168420352. Its totient is φ = 179214336.

The previous prime is 677509439. The next prime is 677509487. The reversal of 677509440 is 44905776.

It is a super-2 number, since 2×677509440² = 918038082578227200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 677509392 and 677509401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119142 + ... + 124698.

It is an arithmetic number, because the mean of its divisors is an integer number (19360896).

Almost surely, 2^677509440 is an apocalyptic number.

677509440 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 677509440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1084210176).

677509440 is an abundant number, since it is smaller than the sum of its proper divisors (1490910912).

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

677509440 is a wasteful number, since it uses less digits than its factorization.

677509440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5704 (or 5694 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 677509440 is about 26029.0115063942. The cubic root of 677509440 is about 878.2910359494.

The spelling of 677509440 in words is "six hundred seventy-seven million, five hundred nine thousand, four hundred forty".