76779280 has 40 divisors (see below), whose sum is σ = 179678232. Its totient is φ = 30511104.

The previous prime is 76779271. The next prime is 76779289. The reversal of 76779280 is 8297767.

It is an interprime number because it is at equal distance from previous prime (76779271) and next prime (76779289).

It can be written as a sum of positive squares in 4 ways, for example, as 4393216 + 72386064 = 2096^2 + 8508^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 76779280.

It is not an unprimeable number, because it can be changed into a prime (76779289) 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 7 ways as a sum of consecutive naturals, for example, 9504 + ... + 15616.

Almost surely, 2^76779280 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 76779280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89839116).

76779280 is an abundant number, since it is smaller than the sum of its proper divisors (102898952).

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

76779280 is a wasteful number, since it uses less digits than its factorization.

76779280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6283 (or 6277 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 46.

The square root of 76779280 is about 8762.3786724839. The cubic root of 76779280 is about 425.0251980446.

The spelling of 76779280 in words is "seventy-six million, seven hundred seventy-nine thousand, two hundred eighty".