75991680 has 192 divisors, whose sum is σ = 267321600. Its totient is φ = 19888128.

The previous prime is 75991631. The next prime is 75991681. The reversal of 75991680 is 8619957.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (75991681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 454957 + ... + 455123.

It is an arithmetic number, because the mean of its divisors is an integer number (1392300).

Almost surely, 2^75991680 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 75991680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133660800).

75991680 is an abundant number, since it is smaller than the sum of its proper divisors (191329920).

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

75991680 is a wasteful number, since it uses less digits than its factorization.

75991680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 75991680 is about 8717.3206892944. The cubic root of 75991680 is about 423.5669008210.

The spelling of 75991680 in words is "seventy-five million, nine hundred ninety-one thousand, six hundred eighty".