77745140 has 48 divisors (see below), whose sum is σ = 182939904. Its totient is φ = 27504000.

The previous prime is 77745139. The next prime is 77745181. The reversal of 77745140 is 4154777.

It is a self number, because there is not a number n which added to its sum of digits gives 77745140.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3365 + ... + 12915.

It is an arithmetic number, because the mean of its divisors is an integer number (3811248).

Almost surely, 2^77745140 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 77745140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91469952).

77745140 is an abundant number, since it is smaller than the sum of its proper divisors (105194764).

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

77745140 is a wasteful number, since it uses less digits than its factorization.

77745140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9608 (or 9606 counting only the distinct ones).

The product of its (nonzero) digits is 27440, while the sum is 35.

The square root of 77745140 is about 8817.3204546506. The cubic root of 77745140 is about 426.8000057972.

The spelling of 77745140 in words is "seventy-seven million, seven hundred forty-five thousand, one hundred forty".