77289744 has 80 divisors (see below), whose sum is σ = 234393728. Its totient is φ = 21482496.

The previous prime is 77289743. The next prime is 77289757. The reversal of 77289744 is 44798277.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (790272) is a multiple of the sum of its prime factors (6272).

It is a junction number, because it is equal to n+sod(n) for n = 77289693 and 77289702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77289743) 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, 9324 + ... + 15540.

Almost surely, 2^77289744 is an apocalyptic number.

77289744 is a gapful number since it is divisible by the number (74) 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 77289744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117196864).

77289744 is an abundant number, since it is smaller than the sum of its proper divisors (157103984).

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

77289744 is a wasteful number, since it uses less digits than its factorization.

77289744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6272 (or 6266 counting only the distinct ones).

The product of its digits is 790272, while the sum is 48.

The square root of 77289744 is about 8791.4585820557. The cubic root of 77289744 is about 425.9650393404.

The spelling of 77289744 in words is "seventy-seven million, two hundred eighty-nine thousand, seven hundred forty-four".