676862400 has 168 divisors, whose sum is σ = 2317601664. Its totient is φ = 172620800.

The previous prime is 676862353. The next prime is 676862447. The reversal of 676862400 is 4268676.

It is an interprime number because it is at equal distance from previous prime (676862353) and next prime (676862447).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107335 + ... + 113465.

It is an arithmetic number, because the mean of its divisors is an integer number (13795248).

Almost surely, 2^676862400 is an apocalyptic number.

676862400 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 676862400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158800832).

676862400 is an abundant number, since it is smaller than the sum of its proper divisors (1640739264).

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

676862400 is a wasteful number, since it uses less digits than its factorization.

676862400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6179 (or 6164 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 676862400 is about 26016.5793293430. The cubic root of 676862400 is about 878.0113495938.

The spelling of 676862400 in words is "six hundred seventy-six million, eight hundred sixty-two thousand, four hundred".