270730080 has 192 divisors, whose sum is σ = 980683200. Its totient is φ = 69672960.

The previous prime is 270730067. The next prime is 270730111. The reversal of 270730080 is 80037072.

270730080 is digitally balanced in base 3, 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124200 + ... + 126360.

It is an arithmetic number, because the mean of its divisors is an integer number (5107725).

Almost surely, 2^270730080 is an apocalyptic number.

270730080 is a gapful number since it is divisible by the number (20) 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 270730080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490341600).

270730080 is an abundant number, since it is smaller than the sum of its proper divisors (709953120).

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

270730080 is a wasteful number, since it uses less digits than its factorization.

270730080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2214 (or 2200 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 270730080 is about 16453.8773545934. The cubic root of 270730080 is about 646.9124418571.

It can be divided in two parts, 270 and 730080, that multiplied together give a square (197121600 = 14040²).

The spelling of 270730080 in words is "two hundred seventy million, seven hundred thirty thousand, eighty".