78285626800 has 120 divisors (see below), whose sum is σ = 194365432832. Its totient is φ = 30270240000.

The previous prime is 78285626789. The next prime is 78285626827. The reversal of 78285626800 is 862658287.

It is a super-2 number, since 2×78285626800² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13029397 + ... + 13035403.

Almost surely, 2^78285626800 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 78285626800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97182716416).

78285626800 is an abundant number, since it is smaller than the sum of its proper divisors (116079806032).

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

78285626800 is a wasteful number, since it uses less digits than its factorization.

78285626800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7107 (or 7096 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 52.

The spelling of 78285626800 in words is "seventy-eight billion, two hundred eighty-five million, six hundred twenty-six thousand, eight hundred".