76277712 has 160 divisors (see below), whose sum is σ = 237484800. Its totient is φ = 21073920.

The previous prime is 76277711. The next prime is 76277741. The reversal of 76277712 is 21777267.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76277711) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 674968 + ... + 675080.

It is an arithmetic number, because the mean of its divisors is an integer number (1484280).

Almost surely, 2^76277712 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 76277712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118742400).

76277712 is an abundant number, since it is smaller than the sum of its proper divisors (161207088).

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

76277712 is a wasteful number, since it uses less digits than its factorization.

76277712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 166 counting only the distinct ones).

The product of its digits is 57624, while the sum is 39.

The square root of 76277712 is about 8733.7112386431. The cubic root of 76277712 is about 424.0976694424.

The spelling of 76277712 in words is "seventy-six million, two hundred seventy-seven thousand, seven hundred twelve".