75485760 has 224 divisors, whose sum is σ = 280903680. Its totient is φ = 16816128.

The previous prime is 75485759. The next prime is 75485777. The reversal of 75485760 is 6758457.

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 315721 + ... + 315959.

Almost surely, 2^75485760 is an apocalyptic number.

75485760 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 75485760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140451840).

75485760 is an abundant number, since it is smaller than the sum of its proper divisors (205417920).

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

75485760 is a wasteful number, since it uses less digits than its factorization.

75485760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

The square root of 75485760 is about 8688.2541399294. The cubic root of 75485760 is about 422.6248315240.

It can be divided in two parts, 75485 and 760, that added together give a triangular number (76245 = T₃₉₀).

The spelling of 75485760 in words is "seventy-five million, four hundred eighty-five thousand, seven hundred sixty".