78397033680 has 320 divisors, whose sum is σ = 308923084800. Its totient is φ = 17901181440.

The previous prime is 78397033679. The next prime is 78397033691. The reversal of 78397033680 is 8633079387.

It is a super-2 number, since 2×78397033680² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19941315 + ... + 19945245.

It is an arithmetic number, because the mean of its divisors is an integer number (965384640).

Almost surely, 2^78397033680 is an apocalyptic number.

78397033680 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 78397033680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154461542400).

78397033680 is an abundant number, since it is smaller than the sum of its proper divisors (230526051120).

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

78397033680 is a wasteful number, since it uses less digits than its factorization.

78397033680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5279 (or 5267 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 78397033680 in words is "seventy-eight billion, three hundred ninety-seven million, thirty-three thousand, six hundred eighty".