75440640 has 320 divisors, whose sum is σ = 282839040. Its totient is φ = 16957440.

The previous prime is 75440623. The next prime is 75440641. The reversal of 75440640 is 4604457.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 75440598 and 75440607.

It is not an unprimeable number, because it can be changed into a prime (75440641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1605097 + ... + 1605143.

It is an arithmetic number, because the mean of its divisors is an integer number (883872).

Almost surely, 2^75440640 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 75440640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141419520).

75440640 is an abundant number, since it is smaller than the sum of its proper divisors (207398400).

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

75440640 is a wasteful number, since it uses less digits than its factorization.

75440640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 75440640 is about 8685.6571426692. The cubic root of 75440640 is about 422.5406097539.

The spelling of 75440640 in words is "seventy-five million, four hundred forty thousand, six hundred forty".