77833096 has 64 divisors (see below), whose sum is σ = 165876480. Its totient is φ = 33929280.

The previous prime is 77833087. The next prime is 77833117. The reversal of 77833096 is 69033877.

It is a Harshad number since it is a multiple of its sum of digits (43).

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 15 ways as a sum of consecutive naturals, for example, 253375 + ... + 253681.

It is an arithmetic number, because the mean of its divisors is an integer number (2591820).

Almost surely, 2^77833096 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 77833096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82938240).

77833096 is an abundant number, since it is smaller than the sum of its proper divisors (88043384).

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

77833096 is a wasteful number, since it uses less digits than its factorization.

77833096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 43.

The square root of 77833096 is about 8822.3067278348. The cubic root of 77833096 is about 426.9608967696.

The spelling of 77833096 in words is "seventy-seven million, eight hundred thirty-three thousand, ninety-six".