78061513299840 has 1440 divisors, whose sum is σ = 334066543092360. Its totient is φ = 16792205230080.

The previous prime is 78061513299773. The next prime is 78061513299841. The reversal of 78061513299840 is 4899231516087.

78061513299840 is a `hidden beast` number, since 7 + 8 + 0 + 6 + 1 + 513 + 29 + 98 + 4 + 0 = 666.

78061513299840 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×78061513299840² (a number of 29 digits) contains 22 as substring.

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 (78061513299841) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 3996790875 + ... + 3996810405.

It is a 1-persistent number, because it is pandigital, but 2⋅78061513299840 = 156123026599680 is not.

Almost surely, 2^{78061513299840} is an apocalyptic number.

78061513299840 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 78061513299840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167033271546180).

78061513299840 is an abundant number, since it is smaller than the sum of its proper divisors (256005029792520).

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

78061513299840 is a wasteful number, since it uses less digits than its factorization.

78061513299840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19618 (or 19565 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 78061513299840 in words is "seventy-eight trillion, sixty-one billion, five hundred thirteen million, two hundred ninety-nine thousand, eight hundred forty".