77066712 has 96 divisors (see below), whose sum is σ = 224078400. Its totient is φ = 23841792.

The previous prime is 77066711. The next prime is 77066719. The reversal of 77066712 is 21766077.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77066711) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96298 + ... + 97094.

It is an arithmetic number, because the mean of its divisors is an integer number (2334150).

Almost surely, 2^77066712 is an apocalyptic number.

77066712 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77066712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112039200).

77066712 is an abundant number, since it is smaller than the sum of its proper divisors (147011688).

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

77066712 is a wasteful number, since it uses less digits than its factorization.

77066712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 77066712 is about 8778.7648333920. The cubic root of 77066712 is about 425.5549143593.

The spelling of 77066712 in words is "seventy-seven million, sixty-six thousand, seven hundred twelve".