77277312 has 216 divisors, whose sum is σ = 265859685. Its totient is φ = 21482496.

The previous prime is 77277287. The next prime is 77277337. The reversal of 77277312 is 21377277.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

77277312 is a `hidden beast` number, since 77 + 277 + 312 = 666.

It is an interprime number because it is at equal distance from previous prime (77277287) and next prime (77277337).

It can be written as a sum of positive squares in 2 ways, for example, as 62346816 + 14930496 = 7896^2 + 3864^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=6216.

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.

Its product of digits (28812) is a multiple of the sum of its prime divisors (49).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2088558 + ... + 2088594.

Almost surely, 2^77277312 is an apocalyptic number.

77277312 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77277312

77277312 is an abundant number, since it is smaller than the sum of its proper divisors (188582373).

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

77277312 is a wasteful number, since it uses less digits than its factorization.

77277312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 49 counting only the distinct ones).

The product of its digits is 28812, while the sum is 36.

The square root of 77277312 is about 8790.7515037112. The cubic root of 77277312 is about 425.9421993919.

The spelling of 77277312 in words is "seventy-seven million, two hundred seventy-seven thousand, three hundred twelve".