676540800 has 432 divisors, whose sum is σ = 2632839300. Its totient is φ = 165335040.

The previous prime is 676540793. The next prime is 676540817. The reversal of 676540800 is 8045676.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 4867131 + ... + 4867269.

Almost surely, 2^676540800 is an apocalyptic number.

676540800 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 676540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316419650).

676540800 is an abundant number, since it is smaller than the sum of its proper divisors (1956298500).

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

676540800 is a wasteful number, since it uses less digits than its factorization.

676540800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 676540800 is about 26010.3979208316. The cubic root of 676540800 is about 877.8722700296.

The spelling of 676540800 in words is "six hundred seventy-six million, five hundred forty thousand, eight hundred".