76465280 has 64 divisors (see below), whose sum is σ = 184205880. Its totient is φ = 30351360.

The previous prime is 76465217. The next prime is 76465289. The reversal of 76465280 is 8256467.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 26790976 + 49674304 = 5176^2 + 7048^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (76465289) 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, 100100 + ... + 100860.

Almost surely, 2^76465280 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 76465280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92102940).

76465280 is an abundant number, since it is smaller than the sum of its proper divisors (107740600).

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

76465280 is a wasteful number, since it uses less digits than its factorization.

76465280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The square root of 76465280 is about 8744.4428067202. The cubic root of 76465280 is about 424.4450056694.

The spelling of 76465280 in words is "seventy-six million, four hundred sixty-five thousand, two hundred eighty".