678977460 has 72 divisors (see below), whose sum is σ = 2353792896. Its totient is φ = 155194560.

The previous prime is 678977447. The next prime is 678977461. The reversal of 678977460 is 64779876.

It is a super-2 number, since 2×678977460² = 922020782376103200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 678977397 and 678977406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (678977461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 268176 + ... + 270695.

It is an arithmetic number, because the mean of its divisors is an integer number (32691568).

Almost surely, 2^678977460 is an apocalyptic number.

678977460 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

678977460 is an abundant number, since it is smaller than the sum of its proper divisors (1674815436).

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

678977460 is a wasteful number, since it uses less digits than its factorization.

678977460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538893 (or 538888 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The square root of 678977460 is about 26057.1959350963. The cubic root of 678977460 is about 878.9249354451.

It can be divided in two parts, 67897 and 7460, that added together give a palindrome (75357).

The spelling of 678977460 in words is "six hundred seventy-eight million, nine hundred seventy-seven thousand, four hundred sixty".