706480320 has 224 divisors, whose sum is σ = 2761049088. Its totient is φ = 149041152.

The previous prime is 706480303. The next prime is 706480321. The reversal of 706480320 is 23084607.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×706480320² = 998228885094604800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (706480321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83317 + ... + 91403.

It is an arithmetic number, because the mean of its divisors is an integer number (12326112).

Almost surely, 2^706480320 is an apocalyptic number.

706480320 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 706480320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1380524544).

706480320 is an abundant number, since it is smaller than the sum of its proper divisors (2054568768).

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

706480320 is a wasteful number, since it uses less digits than its factorization.

706480320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8127 (or 8117 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 706480320 is about 26579.6975152089. The cubic root of 706480320 is about 890.6355431931.

The spelling of 706480320 in words is "seven hundred six million, four hundred eighty thousand, three hundred twenty".