75570640 has 80 divisors (see below), whose sum is σ = 186380928. Its totient is φ = 28435968.

The previous prime is 75570637. The next prime is 75570647. The reversal of 75570640 is 4607557.

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 = 75570596 and 75570605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75570647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122974 + ... + 123586.

Almost surely, 2^75570640 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 75570640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93190464).

75570640 is an abundant number, since it is smaller than the sum of its proper divisors (110810288).

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

75570640 is a wasteful number, since it uses less digits than its factorization.

75570640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 34.

The square root of 75570640 is about 8693.1375233571. The cubic root of 75570640 is about 422.7831790875.

The spelling of 75570640 in words is "seventy-five million, five hundred seventy thousand, six hundred forty".