78303456720 has 60 divisors (see below), whose sum is σ = 262969111236. Its totient is φ = 20880921600.

The previous prime is 78303456709. The next prime is 78303456743. The reversal of 78303456720 is 2765430387.

78303456720 is a `hidden beast` number, since 7 + 8 + 30 + 34 + 567 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9359401536 + 68944055184 = 96744^2 + 262572^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×78303456720² (a number of 23 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 54376681 + ... + 54378120.

Almost surely, 2^78303456720 is an apocalyptic number.

It is an amenable number.

78303456720 is an abundant number, since it is smaller than the sum of its proper divisors (184665654516).

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

78303456720 is a wasteful number, since it uses less digits than its factorization.

78303456720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108754820 (or 108754811 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 78303456720 in words is "seventy-eight billion, three hundred three million, four hundred fifty-six thousand, seven hundred twenty".