706836480 has 384 divisors, whose sum is σ = 2736115200. Its totient is φ = 152174592.

The previous prime is 706836479. The next prime is 706836497. The reversal of 706836480 is 84638607.

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 31 ways as a sum of consecutive naturals, for example, 4085674 + ... + 4085846.

It is an arithmetic number, because the mean of its divisors is an integer number (7125300).

Almost surely, 2^706836480 is an apocalyptic number.

706836480 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 706836480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368057600).

706836480 is an abundant number, since it is smaller than the sum of its proper divisors (2029278720).

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

706836480 is a wasteful number, since it uses less digits than its factorization.

706836480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 706836480 is about 26586.3965215296. The cubic root of 706836480 is about 890.7851842876.

The spelling of 706836480 in words is "seven hundred six million, eight hundred thirty-six thousand, four hundred eighty".