706540800 has 324 divisors, whose sum is σ = 2716034496. Its totient is φ = 161280000.

The previous prime is 706540763. The next prime is 706540811. The reversal of 706540800 is 8045607.

It is a happy number.

706540800 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 940425 + ... + 941175.

Almost surely, 2^706540800 is an apocalyptic number.

706540800 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 706540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358017248).

706540800 is an abundant number, since it is smaller than the sum of its proper divisors (2009493696).

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

706540800 is a wasteful number, since it uses less digits than its factorization.

706540800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 706540800 is about 26580.8352013250. The cubic root of 706540800 is about 890.6609574895.

The spelling of 706540800 in words is "seven hundred six million, five hundred forty thousand, eight hundred".