77266080 has 72 divisors (see below), whose sum is σ = 263675412. Its totient is φ = 20603904.

The previous prime is 77266061. The next prime is 77266081. The reversal of 77266080 is 8066277.

It can be written as a sum of positive squares in 2 ways, for example, as 76947984 + 318096 = 8772^2 + 564^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (77266081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25389 + ... + 28268.

Almost surely, 2^77266080 is an apocalyptic number.

It is an amenable number.

77266080 is an abundant number, since it is smaller than the sum of its proper divisors (186409332).

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

77266080 is a wasteful number, since it uses less digits than its factorization.

77266080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53678 (or 53667 counting only the distinct ones).

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

The square root of 77266080 is about 8790.1126272648. The cubic root of 77266080 is about 425.9215619651.

The spelling of 77266080 in words is "seventy-seven million, two hundred sixty-six thousand, eighty".