75839664 has 20 divisors (see below), whose sum is σ = 195919256. Its totient is φ = 25279872.

The previous prime is 75839663. The next prime is 75839683. The reversal of 75839664 is 46693857.

It is a hoax number, since the sum of its digits (48) 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 (48), and also a Moran number because the ratio is a prime number: 1579993 = 75839664 / (7 + 5 + 8 + 3 + 9 + 6 + 6 + 4).

It is not an unprimeable number, because it can be changed into a prime (75839663) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 789949 + ... + 790044.

Almost surely, 2^75839664 is an apocalyptic number.

It is an amenable number.

75839664 is an abundant number, since it is smaller than the sum of its proper divisors (120079592).

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

75839664 is a wasteful number, since it uses less digits than its factorization.

75839664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1580004 (or 1579998 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 48.

The square root of 75839664 is about 8708.5971315706. The cubic root of 75839664 is about 423.2842737011.

The spelling of 75839664 in words is "seventy-five million, eight hundred thirty-nine thousand, six hundred sixty-four".