705495280 has 160 divisors (see below), whose sum is σ = 1954160640. Its totient is φ = 231828480.

The previous prime is 705495277. The next prime is 705495283. The reversal of 705495280 is 82594507.

It is an interprime number because it is at equal distance from previous prime (705495277) and next prime (705495283).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (705495283) 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, 1636665 + ... + 1637095.

It is an arithmetic number, because the mean of its divisors is an integer number (12213504).

Almost surely, 2^705495280 is an apocalyptic number.

705495280 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 705495280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977080320).

705495280 is an abundant number, since it is smaller than the sum of its proper divisors (1248665360).

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

705495280 is a wasteful number, since it uses less digits than its factorization.

705495280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The square root of 705495280 is about 26561.1611191981. The cubic root of 705495280 is about 890.2214152645.

The spelling of 705495280 in words is "seven hundred five million, four hundred ninety-five thousand, two hundred eighty".