78078873600 has 1872 divisors, whose sum is σ = 369708976000. Its totient is φ = 15606743040.

The previous prime is 78078873547. The next prime is 78078873617. The reversal of 78078873600 is 637887087.

It is a tau number, because it is divible by the number of its divisors (1872).

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 143 ways as a sum of consecutive naturals, for example, 4109414391 + ... + 4109414409.

Almost surely, 2^78078873600 is an apocalyptic number.

78078873600 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 78078873600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184854488000).

78078873600 is an abundant number, since it is smaller than the sum of its proper divisors (291630102400).

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

78078873600 is a wasteful number, since it uses less digits than its factorization.

78078873600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 78078873600 in words is "seventy-eight billion, seventy-eight million, eight hundred seventy-three thousand, six hundred".