680990400 has 378 divisors, whose sum is σ = 2573994852. Its totient is φ = 170726400.

The previous prime is 680990393. The next prime is 680990407. The reversal of 680990400 is 4099086.

It is an interprime number because it is at equal distance from previous prime (680990393) and next prime (680990407).

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 (680990407) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 5198335 + ... + 5198465.

Almost surely, 2^680990400 is an apocalyptic number.

680990400 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 680990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1286997426).

680990400 is an abundant number, since it is smaller than the sum of its proper divisors (1893004452).

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

680990400 is a wasteful number, since it uses less digits than its factorization.

680990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 680990400 is about 26095.7927643519. The cubic root of 680990400 is about 879.7926508719.

The spelling of 680990400 in words is "six hundred eighty million, nine hundred ninety thousand, four hundred".