768711216 has 240 divisors, whose sum is σ = 2571168768. Its totient is φ = 195955200.

The previous prime is 768711197. The next prime is 768711217. The reversal of 768711216 is 612117867.

It is a Harshad number since it is a multiple of its sum of digits (39).

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

It is not an unprimeable number, because it can be changed into a prime (768711217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 947451 + ... + 948261.

Almost surely, 2^768711216 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 768711216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285584384).

768711216 is an abundant number, since it is smaller than the sum of its proper divisors (1802457552).

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

768711216 is a wasteful number, since it uses less digits than its factorization.

768711216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 867 counting only the distinct ones).

The product of its digits is 28224, while the sum is 39.

The square root of 768711216 is about 27725.6418500997. The cubic root of 768711216 is about 916.0539940077.

It can be divided in two parts, 76871 and 1216, that added together give a palindrome (78087).

The spelling of 768711216 in words is "seven hundred sixty-eight million, seven hundred eleven thousand, two hundred sixteen".