75964560 has 160 divisors (see below), whose sum is σ = 272363520. Its totient is φ = 17155584.

The previous prime is 75964547. The next prime is 75964571. The reversal of 75964560 is 6546957.

It is a super-2 number, since 2×75964560² = 11541228751987200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172821 + ... + 173259.

It is an arithmetic number, because the mean of its divisors is an integer number (1702272).

Almost surely, 2^75964560 is an apocalyptic number.

75964560 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 75964560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136181760).

75964560 is an abundant number, since it is smaller than the sum of its proper divisors (196398960).

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

75964560 is a wasteful number, since it uses less digits than its factorization.

75964560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The square root of 75964560 is about 8715.7650266629. The cubic root of 75964560 is about 423.5165071413.

The spelling of 75964560 in words is "seventy-five million, nine hundred sixty-four thousand, five hundred sixty".