706812480 has 560 divisors, whose sum is σ = 2858999616. Its totient is φ = 164229120.

The previous prime is 706812473. The next prime is 706812487. The reversal of 706812480 is 84218607.

It is an interprime number because it is at equal distance from previous prime (706812473) and next prime (706812487).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (706812487) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10549407 + ... + 10549473.

Almost surely, 2^706812480 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 706812480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429499808).

706812480 is an abundant number, since it is smaller than the sum of its proper divisors (2152187136).

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

706812480 is a wasteful number, since it uses less digits than its factorization.

706812480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 706812480 is about 26585.9451590497. The cubic root of 706812480 is about 890.7751022356.

The spelling of 706812480 in words is "seven hundred six million, eight hundred twelve thousand, four hundred eighty".