77655248 has 80 divisors (see below), whose sum is σ = 173893632. Its totient is φ = 33264000.

The previous prime is 77655241. The next prime is 77655289. The reversal of 77655248 is 84255677.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 77655199 and 77655208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77655241) 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 15 ways as a sum of consecutive naturals, for example, 234443 + ... + 234773.

Almost surely, 2^77655248 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 77655248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86946816).

77655248 is an abundant number, since it is smaller than the sum of its proper divisors (96238384).

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

77655248 is a wasteful number, since it uses less digits than its factorization.

77655248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 418 counting only the distinct ones).

The product of its digits is 470400, while the sum is 44.

The square root of 77655248 is about 8812.2215133302. The cubic root of 77655248 is about 426.6354480196.

The spelling of 77655248 in words is "seventy-seven million, six hundred fifty-five thousand, two hundred forty-eight".