77106744 has 96 divisors (see below), whose sum is σ = 245372400. Its totient is φ = 21565440.

The previous prime is 77106719. The next prime is 77106767. The reversal of 77106744 is 44760177.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 77106699 and 77106708.

It is a congruent number.

It is an unprimeable number.

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, 6552 + ... + 14040.

Almost surely, 2^77106744 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 77106744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122686200).

77106744 is an abundant number, since it is smaller than the sum of its proper divisors (168265656).

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

77106744 is a wasteful number, since it uses less digits than its factorization.

77106744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7525 (or 7518 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 77106744 is about 8781.0445847860. The cubic root of 77106744 is about 425.6285858793.

The spelling of 77106744 in words is "seventy-seven million, one hundred six thousand, seven hundred forty-four".