75491840 has 80 divisors (see below), whose sum is σ = 186128712. Its totient is φ = 29343744.

The previous prime is 75491839. The next prime is 75491861. The reversal of 75491840 is 4819457.

It can be written as a sum of positive squares in 4 ways, for example, as 71098624 + 4393216 = 8432^2 + 2096^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 75491794 and 75491803.

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 7 ways as a sum of consecutive naturals, for example, 94322 + ... + 95118.

Almost surely, 2^75491840 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 75491840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93064356).

75491840 is an abundant number, since it is smaller than the sum of its proper divisors (110636872).

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

75491840 is an equidigital number, since it uses as much as digits as its factorization.

75491840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 75491840 is about 8688.6040305679. The cubic root of 75491840 is about 422.6361779908.

The spelling of 75491840 in words is "seventy-five million, four hundred ninety-one thousand, eight hundred forty".