706876800 has 384 divisors, whose sum is σ = 2717802240. Its totient is φ = 158146560.

The previous prime is 706876783. The next prime is 706876829. The reversal of 706876800 is 8678607.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4502322 + ... + 4502478.

It is an arithmetic number, because the mean of its divisors is an integer number (7077610).

Almost surely, 2^706876800 is an apocalyptic number.

706876800 is a gapful number since it is divisible by the number (70) 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 706876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358901120).

706876800 is an abundant number, since it is smaller than the sum of its proper divisors (2010925440).

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

706876800 is a wasteful number, since it uses less digits than its factorization.

706876800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 706876800 is about 26587.1547932456. The cubic root of 706876800 is about 890.8021216211.

The spelling of 706876800 in words is "seven hundred six million, eight hundred seventy-six thousand, eight hundred".