270007920 has 360 divisors, whose sum is σ = 1125704736. Its totient is φ = 56788992.

The previous prime is 270007909. The next prime is 270007921. The reversal of 270007920 is 29700072.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270007921) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 851602 + ... + 851918.

Almost surely, 2^270007920 is an apocalyptic number.

270007920 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 270007920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562852368).

270007920 is an abundant number, since it is smaller than the sum of its proper divisors (855696816).

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

270007920 is a wasteful number, since it uses less digits than its factorization.

270007920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 270007920 is about 16431.9177213130. The cubic root of 270007920 is about 646.3367266229.

Adding to 270007920 its reverse (29700072), we get a palindrome (299707992).

The spelling of 270007920 in words is "two hundred seventy million, seven thousand, nine hundred twenty".