77839488 has 128 divisors (see below), whose sum is σ = 233049600. Its totient is φ = 25574400.

The previous prime is 77839483. The next prime is 77839507. The reversal of 77839488 is 88493877.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (77839483) 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, 348945 + ... + 349167.

It is an arithmetic number, because the mean of its divisors is an integer number (1820700).

Almost surely, 2^77839488 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 77839488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116524800).

77839488 is an abundant number, since it is smaller than the sum of its proper divisors (155210112).

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

77839488 is a wasteful number, since it uses less digits than its factorization.

77839488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 329 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The square root of 77839488 is about 8822.6689839300. The cubic root of 77839488 is about 426.9725844256.

It can be divided in two parts, 7783 and 9488, that added together give a palindrome (17271).

The spelling of 77839488 in words is "seventy-seven million, eight hundred thirty-nine thousand, four hundred eighty-eight".