676516800 has 168 divisors, whose sum is σ = 2243964016. Its totient is φ = 178421760.

The previous prime is 676516781. The next prime is 676516801. The reversal of 676516800 is 8615676.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (676516801) 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, 464874 + ... + 466326.

Almost surely, 2^676516800 is an apocalyptic number.

676516800 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 676516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121982008).

676516800 is an abundant number, since it is smaller than the sum of its proper divisors (1567447216).

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

676516800 is a wasteful number, since it uses less digits than its factorization.

676516800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1575 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 676516800 is about 26009.9365627831. The cubic root of 676516800 is about 877.8618891905.

The spelling of 676516800 in words is "six hundred seventy-six million, five hundred sixteen thousand, eight hundred".