76778280 has 112 divisors (see below), whose sum is σ = 259106580. Its totient is φ = 20466432.

The previous prime is 76778257. The next prime is 76778287. The reversal of 76778280 is 8287767.

It can be written as a sum of positive squares in 2 ways, for example, as 71876484 + 4901796 = 8478^2 + 2214^2 .

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 (76778287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 27844 + ... + 30476.

Almost surely, 2^76778280 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 76778280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129553290).

76778280 is an abundant number, since it is smaller than the sum of its proper divisors (182328300).

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

76778280 is a wasteful number, since it uses less digits than its factorization.

76778280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2662 (or 2643 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The square root of 76778280 is about 8762.3216101670. The cubic root of 76778280 is about 425.0233528114.

The spelling of 76778280 in words is "seventy-six million, seven hundred seventy-eight thousand, two hundred eighty".