677787840 has 168 divisors, whose sum is σ = 2347722000. Its totient is φ = 179472384.

The previous prime is 677787839. The next prime is 677787857. The reversal of 677787840 is 48787776.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 451411 + ... + 452909.

Almost surely, 2^677787840 is an apocalyptic number.

677787840 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 677787840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1173861000).

677787840 is an abundant number, since it is smaller than the sum of its proper divisors (1669934160).

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

677787840 is a wasteful number, since it uses less digits than its factorization.

677787840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 3687936, while the sum is 54.

The square root of 677787840 is about 26034.3588359691. The cubic root of 677787840 is about 878.4113209844.

The spelling of 677787840 in words is "six hundred seventy-seven million, seven hundred eighty-seven thousand, eight hundred forty".