75383280 has 120 divisors (see below), whose sum is σ = 289347552. Its totient is φ = 17229312.

The previous prime is 75383249. The next prime is 75383281. The reversal of 75383280 is 8238357.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75383281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2439 + ... + 12518.

Almost surely, 2^75383280 is an apocalyptic number.

75383280 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 75383280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144673776).

75383280 is an abundant number, since it is smaller than the sum of its proper divisors (213964272).

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

75383280 is a wasteful number, since it uses less digits than its factorization.

75383280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14983 (or 14974 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 75383280 is about 8682.3545193686. The cubic root of 75383280 is about 422.4334920930.

The spelling of 75383280 in words is "seventy-five million, three hundred eighty-three thousand, two hundred eighty".