77255712 has 144 divisors (see below), whose sum is σ = 233513280. Its totient is φ = 24178176.

The previous prime is 77255699. The next prime is 77255719. The reversal of 77255712 is 21755277.

It is a tau number, because it is divible by the number of its divisors (144).

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 (77255719) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 708714 + ... + 708822.

It is an arithmetic number, because the mean of its divisors is an integer number (1621620).

Almost surely, 2^77255712 is an apocalyptic number.

77255712 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 77255712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116756640).

77255712 is an abundant number, since it is smaller than the sum of its proper divisors (156257568).

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

77255712 is a wasteful number, since it uses less digits than its factorization.

77255712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 244 counting only the distinct ones).

The product of its digits is 34300, while the sum is 36.

The square root of 77255712 is about 8789.5228539438. The cubic root of 77255712 is about 425.9025102575.

The spelling of 77255712 in words is "seventy-seven million, two hundred fifty-five thousand, seven hundred twelve".