77791896 has 192 divisors, whose sum is σ = 268369920. Its totient is φ = 19802880.

The previous prime is 77791873. The next prime is 77791921. The reversal of 77791896 is 69819777.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 202921 + ... + 203303.

It is an arithmetic number, because the mean of its divisors is an integer number (1397760).

Almost surely, 2^77791896 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 77791896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134184960).

77791896 is an abundant number, since it is smaller than the sum of its proper divisors (190578024).

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

77791896 is a wasteful number, since it uses less digits than its factorization.

77791896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 439 counting only the distinct ones).

The product of its digits is 1333584, while the sum is 54.

The square root of 77791896 is about 8819.9714285252. The cubic root of 77791896 is about 426.8855479588.

It can be divided in two parts, 77791 and 896, that added together give a palindrome (78687).

The spelling of 77791896 in words is "seventy-seven million, seven hundred ninety-one thousand, eight hundred ninety-six".