75883360 has 72 divisors (see below), whose sum is σ = 208565280. Its totient is φ = 26014464.

The previous prime is 75883307. The next prime is 75883361. The reversal of 75883360 is 6338857.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75883361) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3001 + ... + 12679.

It is an arithmetic number, because the mean of its divisors is an integer number (2896740).

Almost surely, 2^75883360 is an apocalyptic number.

75883360 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 75883360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104282640).

75883360 is an abundant number, since it is smaller than the sum of its proper divisors (132681920).

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

75883360 is a wasteful number, since it uses less digits than its factorization.

75883360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9708 (or 9693 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 75883360 is about 8711.1055555538. The cubic root of 75883360 is about 423.3655516568.

The spelling of 75883360 in words is "seventy-five million, eight hundred eighty-three thousand, three hundred sixty".