687398400 has 720 divisors, whose sum is σ = 2908970064. Its totient is φ = 159252480.

The previous prime is 687398351. The next prime is 687398419. The reversal of 687398400 is 4893786.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40435192 + ... + 40435208.

Almost surely, 2^687398400 is an apocalyptic number.

687398400 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 687398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454485032).

687398400 is an abundant number, since it is smaller than the sum of its proper divisors (2221571664).

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

687398400 is a wasteful number, since it uses less digits than its factorization.

687398400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 687398400 is about 26218.2836966877. The cubic root of 687398400 is about 882.5436049150.

The spelling of 687398400 in words is "six hundred eighty-seven million, three hundred ninety-eight thousand, four hundred".