77873256 has 72 divisors (see below), whose sum is σ = 214838130. Its totient is φ = 25481664.

The previous prime is 77873251. The next prime is 77873273. The reversal of 77873256 is 65237877.

It can be written as a sum of positive squares in only one way, i.e., 71673156 + 6200100 = 8466^2 + 2490^2 .

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

Its product of digits (493920) is a multiple of the sum of its prime divisors (245).

It is not an unprimeable number, because it can be changed into a prime (77873251) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 495930 + ... + 496086.

Almost surely, 2^77873256 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 77873256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107419065).

77873256 is an abundant number, since it is smaller than the sum of its proper divisors (136964874).

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

77873256 is a wasteful number, since it uses less digits than its factorization.

77873256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 245 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

The square root of 77873256 is about 8824.5824830413. The cubic root of 77873256 is about 427.0343179843.

The spelling of 77873256 in words is "seventy-seven million, eight hundred seventy-three thousand, two hundred fifty-six".