270400720 has 80 divisors (see below), whose sum is σ = 642583872. Its totient is φ = 105799680.

The previous prime is 270400709. The next prime is 270400721. The reversal of 270400720 is 27004072.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 270400691 and 270400700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270400721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1281415 + ... + 1281625.

Almost surely, 2^270400720 is an apocalyptic number.

270400720 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 270400720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321291936).

270400720 is an abundant number, since it is smaller than the sum of its proper divisors (372183152).

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

270400720 is a wasteful number, since it uses less digits than its factorization.

270400720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 22.

The square root of 270400720 is about 16443.8657255525. The cubic root of 270400720 is about 646.6499989799.

Adding to 270400720 its reverse (27004072), we get a palindrome (297404792).

The spelling of 270400720 in words is "two hundred seventy million, four hundred thousand, seven hundred twenty".