674308800 has 630 divisors, whose sum is σ = 2787758204. Its totient is φ = 159667200.

The previous prime is 674308799. The next prime is 674308801. The reversal of 674308800 is 8803476.

It is an interprime number because it is at equal distance from previous prime (674308799) and next prime (674308801).

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

It is not an unprimeable number, because it can be changed into a prime (674308801) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 15681579 + ... + 15681621.

Almost surely, 2^674308800 is an apocalyptic number.

674308800 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 674308800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393879102).

674308800 is an abundant number, since it is smaller than the sum of its proper divisors (2113449404).

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

674308800 is a wasteful number, since it uses less digits than its factorization.

674308800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 674308800 is about 25967.4565562359. The cubic root of 674308800 is about 876.9057997875.

The spelling of 674308800 in words is "six hundred seventy-four million, three hundred eight thousand, eight hundred".