76268160 has 96 divisors (see below), whose sum is σ = 263383380. Its totient is φ = 20336640.

The previous prime is 76268149. The next prime is 76268201. The reversal of 76268160 is 6186267.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 70157376 + 6110784 = 8376^2 + 2472^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×76268160³ (a number of 25 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 861 + ... + 12380.

Almost surely, 2^76268160 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 76268160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131691690).

76268160 is an abundant number, since it is smaller than the sum of its proper divisors (187115220).

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

76268160 is a wasteful number, since it uses less digits than its factorization.

76268160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13266 (or 13251 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 76268160 is about 8733.1643749560. The cubic root of 76268160 is about 424.0799659310.

The spelling of 76268160 in words is "seventy-six million, two hundred sixty-eight thousand, one hundred sixty".