705765060 has 288 divisors, whose sum is σ = 2875122432. Its totient is φ = 135336960.

The previous prime is 705765043. The next prime is 705765079. The reversal of 705765060 is 60567507.

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

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, 178222 + ... + 182138.

It is an arithmetic number, because the mean of its divisors is an integer number (9983064).

Almost surely, 2^705765060 is an apocalyptic number.

705765060 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 705765060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437561216).

705765060 is an abundant number, since it is smaller than the sum of its proper divisors (2169357372).

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

705765060 is a wasteful number, since it uses less digits than its factorization.

705765060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3963 (or 3958 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 705765060 is about 26566.2391015364. The cubic root of 705765060 is about 890.3348737733.

The spelling of 705765060 in words is "seven hundred five million, seven hundred sixty-five thousand, sixty".