78857349120 has 1152 divisors, whose sum is σ = 321106705920. Its totient is φ = 18393661440.

The previous prime is 78857349091. The next prime is 78857349127. The reversal of 78857349120 is 2194375887.

It is a happy number.

78857349120 is a `hidden beast` number, since 7 + 8 + 8 + 573 + 49 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is not an unprimeable number, because it can be changed into a prime (78857349127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1176975327 + ... + 1176975393.

It is an arithmetic number, because the mean of its divisors is an integer number (278738460).

Almost surely, 2^78857349120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78857349120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160553352960).

78857349120 is an abundant number, since it is smaller than the sum of its proper divisors (242249356800).

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

78857349120 is a wasteful number, since it uses less digits than its factorization.

78857349120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 78857349120 in words is "seventy-eight billion, eight hundred fifty-seven million, three hundred forty-nine thousand, one hundred twenty".