77770056 has 96 divisors (see below), whose sum is σ = 243613440. Its totient is φ = 20506752.

The previous prime is 77770051. The next prime is 77770057. The reversal of 77770056 is 65007777.

It is a super-2 number, since 2×77770056² = 12096363220486272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 77769996 and 77770023.

It is not an unprimeable number, because it can be changed into a prime (77770051) 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, 12745 + ... + 17831.

It is an arithmetic number, because the mean of its divisors is an integer number (2537640).

Almost surely, 2^77770056 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 77770056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121806720).

77770056 is an abundant number, since it is smaller than the sum of its proper divisors (165843384).

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

77770056 is a wasteful number, since it uses less digits than its factorization.

77770056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5123 (or 5112 counting only the distinct ones).

The product of its (nonzero) digits is 72030, while the sum is 39.

The square root of 77770056 is about 8818.7332423654. The cubic root of 77770056 is about 426.8455949839.

The spelling of 77770056 in words is "seventy-seven million, seven hundred seventy thousand, fifty-six".