78897725760 has 224 divisors, whose sum is σ = 286540480512. Its totient is φ = 18017740800.

The previous prime is 78897725749. The next prime is 78897725771. The reversal of 78897725760 is 6752779887.

It is an interprime number because it is at equal distance from previous prime (78897725749) and next prime (78897725771).

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×78897725760² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 78897725691 and 78897725700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8617185 + ... + 8626335.

Almost surely, 2^78897725760 is an apocalyptic number.

78897725760 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 78897725760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143270240256).

78897725760 is an abundant number, since it is smaller than the sum of its proper divisors (207642754752).

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

78897725760 is a wasteful number, since it uses less digits than its factorization.

78897725760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10461 (or 10451 counting only the distinct ones).

The product of its (nonzero) digits is 82978560, while the sum is 66.

The spelling of 78897725760 in words is "seventy-eight billion, eight hundred ninety-seven million, seven hundred twenty-five thousand, seven hundred sixty".