727080480 has 288 divisors, whose sum is σ = 3003122304. Its totient is φ = 156377088.

The previous prime is 727080443. The next prime is 727080481. The reversal of 727080480 is 84080727.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (727080481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169239 + ... + 173481.

It is an arithmetic number, because the mean of its divisors is an integer number (10427508).

Almost surely, 2^727080480 is an apocalyptic number.

727080480 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 727080480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501561152).

727080480 is an abundant number, since it is smaller than the sum of its proper divisors (2276041824).

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

727080480 is a wasteful number, since it uses less digits than its factorization.

727080480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4288 (or 4277 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 727080480 is about 26964.4299031150. The cubic root of 727080480 is about 899.2093797437.

The spelling of 727080480 in words is "seven hundred twenty-seven million, eighty thousand, four hundred eighty".