705928860 has 288 divisors, whose sum is σ = 2676989952. Its totient is φ = 146603520.

The previous prime is 705928843. The next prime is 705928877. The reversal of 705928860 is 68829507.

705928860 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (705928843) and next prime (705928877).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1162677 + ... + 1163283.

It is an arithmetic number, because the mean of its divisors is an integer number (9295104).

Almost surely, 2^705928860 is an apocalyptic number.

705928860 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 705928860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338494976).

705928860 is an abundant number, since it is smaller than the sum of its proper divisors (1971061092).

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

705928860 is a wasteful number, since it uses less digits than its factorization.

705928860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 705928860 is about 26569.3217828382. The cubic root of 705928860 is about 890.4037472930.

The spelling of 705928860 in words is "seven hundred five million, nine hundred twenty-eight thousand, eight hundred sixty".