706790880 has 384 divisors, whose sum is σ = 2661120000. Its totient is φ = 174680064.

The previous prime is 706790879. The next prime is 706790893. The reversal of 706790880 is 88097607.

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 (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6484266 + ... + 6484374.

It is an arithmetic number, because the mean of its divisors is an integer number (6930000).

Almost surely, 2^706790880 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 706790880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330560000).

706790880 is an abundant number, since it is smaller than the sum of its proper divisors (1954329120).

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

706790880 is a wasteful number, since it uses less digits than its factorization.

706790880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 706790880 is about 26585.5389262659. The cubic root of 706790880 is about 890.7660281937.

The spelling of 706790880 in words is "seven hundred six million, seven hundred ninety thousand, eight hundred eighty".