78107929830 has 192 divisors, whose sum is σ = 243174597120. Its totient is φ = 17668813824.

The previous prime is 78107929817. The next prime is 78107929841. The reversal of 78107929830 is 3892970187.

It is a super-4 number, since 4×78107929830⁴ (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1626301 + ... + 1673639.

It is an arithmetic number, because the mean of its divisors is an integer number (1266534360).

Almost surely, 2^78107929830 is an apocalyptic number.

78107929830 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 78107929830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121587298560).

78107929830 is an abundant number, since it is smaller than the sum of its proper divisors (165066667290).

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

78107929830 is a wasteful number, since it uses less digits than its factorization.

78107929830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47465 (or 47453 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 78107929830 in words is "seventy-eight billion, one hundred seven million, nine hundred twenty-nine thousand, eight hundred thirty".