77289552 has 120 divisors (see below), whose sum is σ = 227665984. Its totient is φ = 25380864.

The previous prime is 77289521. The next prime is 77289557. The reversal of 77289552 is 25598277.

It is a happy number.

77289552 is a `hidden beast` number, since 77 + 28 + 9 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 77289498 and 77289507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77289557) 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, 400368 + ... + 400560.

Almost surely, 2^77289552 is an apocalyptic number.

77289552 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 77289552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113832992).

77289552 is an abundant number, since it is smaller than the sum of its proper divisors (150376432).

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

77289552 is a wasteful number, since it uses less digits than its factorization.

77289552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 301 counting only the distinct ones).

The product of its digits is 352800, while the sum is 45.

The square root of 77289552 is about 8791.4476623591. The cubic root of 77289552 is about 425.9646866185.

It can be divided in two parts, 77289 and 552, that added together give a square (77841 = 279²).

The spelling of 77289552 in words is "seventy-seven million, two hundred eighty-nine thousand, five hundred fifty-two".