706078604400 has 240 divisors, whose sum is σ = 2440659787776. Its totient is φ = 173456501760.

The previous prime is 706078604393. The next prime is 706078604431. The reversal of 706078604400 is 4406870607.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7801809 + ... + 7891791.

Almost surely, 2^706078604400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 706078604400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220329893888).

706078604400 is an abundant number, since it is smaller than the sum of its proper divisors (1734581183376).

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

706078604400 is a wasteful number, since it uses less digits than its factorization.

706078604400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90520 (or 90509 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 706078604400 in words is "seven hundred six billion, seventy-eight million, six hundred four thousand, four hundred".