78711091200 has 1248 divisors, whose sum is σ = 341269824000. Its totient is φ = 17774346240.

The previous prime is 78711091181. The next prime is 78711091231. The reversal of 78711091200 is 219011787.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 948326359 + ... + 948326441.

Almost surely, 2^78711091200 is an apocalyptic number.

78711091200 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 78711091200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170634912000).

78711091200 is an abundant number, since it is smaller than the sum of its proper divisors (262558732800).

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

78711091200 is an equidigital number, since it uses as much as digits as its factorization.

78711091200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 36.

The spelling of 78711091200 in words is "seventy-eight billion, seven hundred eleven million, ninety-one thousand, two hundred".