78580350720 has 288 divisors, whose sum is σ = 285657503040. Its totient is φ = 20443299840.

The previous prime is 78580350703. The next prime is 78580350749. The reversal of 78580350720 is 2705308587.

78580350720 is a `hidden beast` number, since 78 + 58 + 0 + 3 + 507 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1389232 + ... + 1444688.

It is an arithmetic number, because the mean of its divisors is an integer number (991866330).

Almost surely, 2^78580350720 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 78580350720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142828751520).

78580350720 is an abundant number, since it is smaller than the sum of its proper divisors (207077152320).

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

78580350720 is a wasteful number, since it uses less digits than its factorization.

78580350720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55528 (or 55508 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 78580350720 in words is "seventy-eight billion, five hundred eighty million, three hundred fifty thousand, seven hundred twenty".