76519202816 has 336 divisors, whose sum is σ = 191248588800. Its totient is φ = 30433148928.

The previous prime is 76519202801. The next prime is 76519202833. The reversal of 76519202816 is 61820291567.

It is a happy number.

It is a super-2 number, since 2×76519202816² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 602513345 + ... + 602513471.

Almost surely, 2^76519202816 is an apocalyptic number.

76519202816 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 76519202816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95624294400).

76519202816 is an abundant number, since it is smaller than the sum of its proper divisors (114729385984).

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

76519202816 is a wasteful number, since it uses less digits than its factorization.

76519202816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 47.

The spelling of 76519202816 in words is "seventy-six billion, five hundred nineteen million, two hundred two thousand, eight hundred sixteen".