76777216 has 36 divisors (see below), whose sum is σ = 153827352. Its totient is φ = 38245376.

The previous prime is 76777213. The next prime is 76777229. The reversal of 76777216 is 61277767.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76777213) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 113070 + ... + 113746.

It is an arithmetic number, because the mean of its divisors is an integer number (4272982).

Almost surely, 2^76777216 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 76777216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76913676).

76777216 is an abundant number, since it is smaller than the sum of its proper divisors (77050136).

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

76777216 is an equidigital number, since it uses as much as digits as its factorization.

76777216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1122 counting only the distinct ones).

The product of its digits is 172872, while the sum is 43.

The square root of 76777216 is about 8762.2608954539. The cubic root of 76777216 is about 425.0213894656.

The spelling of 76777216 in words is "seventy-six million, seven hundred seventy-seven thousand, two hundred sixteen".