676342800 has 180 divisors, whose sum is σ = 2682496960. Its totient is φ = 154586880.

The previous prime is 676342789. The next prime is 676342811. The reversal of 676342800 is 8243676.

It is an interprime number because it is at equal distance from previous prime (676342789) and next prime (676342811).

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×676342800² = 914879166223680000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11781 + ... + 38619.

Almost surely, 2^676342800 is an apocalyptic number.

676342800 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 676342800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341248480).

676342800 is an abundant number, since it is smaller than the sum of its proper divisors (2006154160).

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

676342800 is a wasteful number, since it uses less digits than its factorization.

676342800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26870 (or 26856 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 676342800 is about 26006.5914721634. The cubic root of 676342800 is about 877.7866207635.

The spelling of 676342800 in words is "six hundred seventy-six million, three hundred forty-two thousand, eight hundred".