76361408820816 has 240 divisors, whose sum is σ = 237403159511040. Its totient is φ = 21063757102080.

The previous prime is 76361408820779. The next prime is 76361408820821. The reversal of 76361408820816 is 61802880416367.

It is a super-2 number, since 2×76361408820816² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 76361408820816.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1308268465 + ... + 1308326831.

It is an arithmetic number, because the mean of its divisors is an integer number (989179831296).

Almost surely, 2^{76361408820816} 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 76361408820816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118701579755520).

76361408820816 is an abundant number, since it is smaller than the sum of its proper divisors (161041750690224).

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

76361408820816 is a wasteful number, since it uses less digits than its factorization.

76361408820816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77602 (or 77589 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 60.

The spelling of 76361408820816 in words is "seventy-six trillion, three hundred sixty-one billion, four hundred eight million, eight hundred twenty thousand, eight hundred sixteen".