78413803776 has 864 divisors, whose sum is σ = 304170746880. Its totient is φ = 18811699200.

The previous prime is 78413803763. The next prime is 78413803799. The reversal of 78413803776 is 67730831487.

It is a super-2 number, since 2×78413803776² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 144942066 + ... + 144942606.

Almost surely, 2^78413803776 is an apocalyptic number.

78413803776 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 78413803776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152085373440).

78413803776 is an abundant number, since it is smaller than the sum of its proper divisors (225756943104).

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

78413803776 is a wasteful number, since it uses less digits than its factorization.

78413803776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 78413803776 in words is "seventy-eight billion, four hundred thirteen million, eight hundred three thousand, seven hundred seventy-six".