78182964720 has 640 divisors, whose sum is σ = 334454784000. Its totient is φ = 16381854720.

The previous prime is 78182964709. The next prime is 78182964733. The reversal of 78182964720 is 2746928187.

It is a happy number.

78182964720 is a `hidden beast` number, since 7 + 8 + 1 + 82 + 96 + 472 + 0 = 666.

It is a super-2 number, since 2×78182964720² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8901291 + ... + 8910069.

It is an arithmetic number, because the mean of its divisors is an integer number (522585600).

Almost surely, 2^78182964720 is an apocalyptic number.

78182964720 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 78182964720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167227392000).

78182964720 is an abundant number, since it is smaller than the sum of its proper divisors (256271819280).

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

78182964720 is a wasteful number, since it uses less digits than its factorization.

78182964720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8858 (or 8846 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 78182964720 in words is "seventy-eight billion, one hundred eighty-two million, nine hundred sixty-four thousand, seven hundred twenty".