78102921960 has 192 divisors, whose sum is σ = 290368540800. Its totient is φ = 17835360768.

The previous prime is 78102921947. The next prime is 78102921973. The reversal of 78102921960 is 6912920187.

It is a Cunningham number, because it is equal to 279469²-1.

It is an interprime number because it is at equal distance from previous prime (78102921947) and next prime (78102921973).

It is a super-2 number, since 2×78102921960² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2780707 + ... + 2808653.

It is an arithmetic number, because the mean of its divisors is an integer number (1512336150).

Almost surely, 2^78102921960 is an apocalyptic number.

78102921960 is a gapful number since it is divisible by the number (70) 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 78102921960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145184270400).

78102921960 is an abundant number, since it is smaller than the sum of its proper divisors (212265618840).

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

78102921960 is a wasteful number, since it uses less digits than its factorization.

78102921960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29080 (or 29073 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 78102921960 in words is "seventy-eight billion, one hundred two million, nine hundred twenty-one thousand, nine hundred sixty".