77259312 has 80 divisors (see below), whose sum is σ = 238838880. Its totient is φ = 23770368.

The previous prime is 77259257. The next prime is 77259317. The reversal of 77259312 is 21395277.

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 (77259317) 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, 1263 + ... + 12494.

It is an arithmetic number, because the mean of its divisors is an integer number (2985486).

Almost surely, 2^77259312 is an apocalyptic number.

77259312 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 77259312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119419440).

77259312 is an abundant number, since it is smaller than the sum of its proper divisors (161579568).

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

77259312 is a wasteful number, since it uses less digits than its factorization.

77259312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13787 (or 13775 counting only the distinct ones).

The product of its digits is 26460, while the sum is 36.

The square root of 77259312 is about 8789.7276408317. The cubic root of 77259312 is about 425.9091256270.

The spelling of 77259312 in words is "seventy-seven million, two hundred fifty-nine thousand, three hundred twelve".