78049973760 has 320 divisors, whose sum is σ = 284041105920. Its totient is φ = 18098094080.

The previous prime is 78049973741. The next prime is 78049973761. The reversal of 78049973760 is 6737994087.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 78049973694 and 78049973703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78049973761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1922956 + ... + 1963124.

It is an arithmetic number, because the mean of its divisors is an integer number (887628456).

Almost surely, 2^78049973760 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 78049973760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142020552960).

78049973760 is an abundant number, since it is smaller than the sum of its proper divisors (205991132160).

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

78049973760 is a wasteful number, since it uses less digits than its factorization.

78049973760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40229 (or 40213 counting only the distinct ones).

The product of its (nonzero) digits is 16003008, while the sum is 60.

The spelling of 78049973760 in words is "seventy-eight billion, forty-nine million, nine hundred seventy-three thousand, seven hundred sixty".