77783874 has 96 divisors (see below), whose sum is σ = 195022080. Its totient is φ = 20547072.

The previous prime is 77783873. The next prime is 77783921. The reversal of 77783874 is 47838777.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77783873) 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 47 ways as a sum of consecutive naturals, for example, 394744 + ... + 394940.

It is an arithmetic number, because the mean of its divisors is an integer number (2031480).

Almost surely, 2^77783874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77783874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97511040).

77783874 is an abundant number, since it is smaller than the sum of its proper divisors (117238206).

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

77783874 is a wasteful number, since it uses less digits than its factorization.

77783874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 305 counting only the distinct ones).

The product of its digits is 1843968, while the sum is 51.

The square root of 77783874 is about 8819.5166534227. The cubic root of 77783874 is about 426.8708737928.

The spelling of 77783874 in words is "seventy-seven million, seven hundred eighty-three thousand, eight hundred seventy-four".