705756780 has 192 divisors, whose sum is σ = 2275983360. Its totient is φ = 181440000.

The previous prime is 705756769. The next prime is 705756811. The reversal of 705756780 is 87657507.

705756780 is a `hidden beast` number, since 7 + 0 + 5 + 7 + 567 + 80 = 666.

705756780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2811655 + ... + 2811905.

It is an arithmetic number, because the mean of its divisors is an integer number (11854080).

Almost surely, 2^705756780 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 705756780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137991680).

705756780 is an abundant number, since it is smaller than the sum of its proper divisors (1570226580).

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

705756780 is a wasteful number, since it uses less digits than its factorization.

705756780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 45.

The square root of 705756780 is about 26566.0832641923. The cubic root of 705756780 is about 890.3313919718.

The spelling of 705756780 in words is "seven hundred five million, seven hundred fifty-six thousand, seven hundred eighty".