75270480 has 160 divisors (see below), whose sum is σ = 246079488. Its totient is φ = 19008000.

The previous prime is 75270463. The next prime is 75270493. The reversal of 75270480 is 8407257.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 498405 + ... + 498555.

Almost surely, 2^75270480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75270480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123039744).

75270480 is an abundant number, since it is smaller than the sum of its proper divisors (170809008).

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

75270480 is a wasteful number, since it uses less digits than its factorization.

75270480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 33.

The square root of 75270480 is about 8675.8561537176. The cubic root of 75270480 is about 422.2226836970. Note that the first 3 decimals are identical.

The spelling of 75270480 in words is "seventy-five million, two hundred seventy thousand, four hundred eighty".