76028805216 has 576 divisors, whose sum is σ = 284811770880. Its totient is φ = 18677329920.

The previous prime is 76028805211. The next prime is 76028805247. The reversal of 76028805216 is 61250882067.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76028805211) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30373821 + ... + 30376323.

It is an arithmetic number, because the mean of its divisors is an integer number (494464880).

Almost surely, 2^76028805216 is an apocalyptic number.

76028805216 is a gapful number since it is divisible by the number (76) 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 76028805216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142405885440).

76028805216 is an abundant number, since it is smaller than the sum of its proper divisors (208782965664).

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

76028805216 is a wasteful number, since it uses less digits than its factorization.

76028805216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2619 (or 2608 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 76028805216 in words is "seventy-six billion, twenty-eight million, eight hundred five thousand, two hundred sixteen".