77806296 has 72 divisors (see below), whose sum is σ = 215567820. Its totient is φ = 25347168.

The previous prime is 77806277. The next prime is 77806321. The reversal of 77806296 is 69260877.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 17 ways as a sum of consecutive naturals, for example, 612585 + ... + 612711.

Almost surely, 2^77806296 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 77806296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107783910).

77806296 is an abundant number, since it is smaller than the sum of its proper divisors (137761524).

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

77806296 is a wasteful number, since it uses less digits than its factorization.

77806296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 77806296 is about 8820.7877199262. The cubic root of 77806296 is about 426.9118864891.

The spelling of 77806296 in words is "seventy-seven million, eight hundred six thousand, two hundred ninety-six".