76712328 has 192 divisors, whose sum is σ = 263502720. Its totient is φ = 19584000.

The previous prime is 76712327. The next prime is 76712333. The reversal of 76712328 is 82321767.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 76712292 and 76712301.

It is not an unprimeable number, because it can be changed into a prime (76712323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 559876 + ... + 560012.

It is an arithmetic number, because the mean of its divisors is an integer number (1372410).

Almost surely, 2^76712328 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 76712328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131751360).

76712328 is an abundant number, since it is smaller than the sum of its proper divisors (186790392).

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

76712328 is a wasteful number, since it uses less digits than its factorization.

76712328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 261 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 76712328 is about 8758.5574154652. The cubic root of 76712328 is about 424.9016205967.

It can be divided in two parts, 7671 and 2328, that added together give a palindrome (9999).

The spelling of 76712328 in words is "seventy-six million, seven hundred twelve thousand, three hundred twenty-eight".