78654965760 has 1920 divisors, whose sum is σ = 365318553600. Its totient is φ = 15765995520.

The previous prime is 78654965731. The next prime is 78654965761. The reversal of 78654965760 is 6756945687.

78654965760 is a `hidden beast` number, since 7 + 8 + 6 + 54 + 9 + 6 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78654965761) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2537256945 + ... + 2537256975.

It is an arithmetic number, because the mean of its divisors is an integer number (190270080).

Almost surely, 2^78654965760 is an apocalyptic number.

78654965760 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 78654965760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182659276800).

78654965760 is an abundant number, since it is smaller than the sum of its proper divisors (286663587840).

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

78654965760 is a wasteful number, since it uses less digits than its factorization.

78654965760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 78654965760 in words is "seventy-eight billion, six hundred fifty-four million, nine hundred sixty-five thousand, seven hundred sixty".