78122102784 has 208 divisors, whose sum is σ = 232538427264. Its totient is φ = 23121100800.

The previous prime is 78122102759. The next prime is 78122102809. The reversal of 78122102784 is 48720122187.

It is an interprime number because it is at equal distance from previous prime (78122102759) and next prime (78122102809).

It is a super-2 number, since 2×78122102784² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5805504 + ... + 5818944.

It is an arithmetic number, because the mean of its divisors is an integer number (1117973208).

Almost surely, 2^78122102784 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 78122102784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116269213632).

78122102784 is an abundant number, since it is smaller than the sum of its proper divisors (154416324480).

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

78122102784 is a wasteful number, since it uses less digits than its factorization.

78122102784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13522 (or 13500 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 42.

The spelling of 78122102784 in words is "seventy-eight billion, one hundred twenty-two million, one hundred two thousand, seven hundred eighty-four".