76117280 has 48 divisors (see below), whose sum is σ = 180573624. Its totient is φ = 30320640.

The previous prime is 76117277. The next prime is 76117289. The reversal of 76117280 is 8271167.

76117280 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 4 ways, for example, as 62663056 + 13454224 = 7916^2 + 3668^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (76117289) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44114 + ... + 45806.

Almost surely, 2^76117280 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 76117280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90286812).

76117280 is an abundant number, since it is smaller than the sum of its proper divisors (104456344).

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

76117280 is a wasteful number, since it uses less digits than its factorization.

76117280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1989 (or 1981 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 32.

The square root of 76117280 is about 8724.5217633977. The cubic root of 76117280 is about 423.8001312647.

The spelling of 76117280 in words is "seventy-six million, one hundred seventeen thousand, two hundred eighty".