77006776 has 64 divisors (see below), whose sum is σ = 181440000. Its totient is φ = 29765760.

The previous prime is 77006767. The next prime is 77006777. The reversal of 77006776 is 67760077.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77006777) by changing a digit.

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, 91365 + ... + 92203.

It is an arithmetic number, because the mean of its divisors is an integer number (2835000).

Almost surely, 2^77006776 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 77006776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90720000).

77006776 is an abundant number, since it is smaller than the sum of its proper divisors (104433224).

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

77006776 is a wasteful number, since it uses less digits than its factorization.

77006776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 86436, while the sum is 40.

The square root of 77006776 is about 8775.3504773314. The cubic root of 77006776 is about 425.4445654867. Note that the first 3 decimals are identical.

The spelling of 77006776 in words is "seventy-seven million, six thousand, seven hundred seventy-six".