77047056 has 120 divisors (see below), whose sum is σ = 230657856. Its totient is φ = 23950080.

The previous prime is 77047051. The next prime is 77047123. The reversal of 77047056 is 65074077.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 77047056.

It is not an unprimeable number, because it can be changed into a prime (77047051) 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 23 ways as a sum of consecutive naturals, for example, 142146 + ... + 142686.

Almost surely, 2^77047056 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 77047056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115328928).

77047056 is an abundant number, since it is smaller than the sum of its proper divisors (153610800).

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

77047056 is a wasteful number, since it uses less digits than its factorization.

77047056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 77047056 is about 8777.6452423187. The cubic root of 77047056 is about 425.5187317740.

The spelling of 77047056 in words is "seventy-seven million, forty-seven thousand, fifty-six".