705976920 has 288 divisors, whose sum is σ = 2657818800. Its totient is φ = 161948160.

The previous prime is 705976903. The next prime is 705976933. The reversal of 705976920 is 29679507.

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 71 ways as a sum of consecutive naturals, for example, 827214 + ... + 828066.

Almost surely, 2^705976920 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 705976920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328909400).

705976920 is an abundant number, since it is smaller than the sum of its proper divisors (1951841880).

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

705976920 is a wasteful number, since it uses less digits than its factorization.

705976920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 705976920 is about 26570.2261939939. The cubic root of 705976920 is about 890.4239532163.

The spelling of 705976920 in words is "seven hundred five million, nine hundred seventy-six thousand, nine hundred twenty".