78247257003300 has 576 divisors, whose sum is σ = 286676939501568. Its totient is φ = 16005400320000.

The previous prime is 78247257003299. The next prime is 78247257003389. The reversal of 78247257003300 is 330075274287.

It is a super-2 number, since 2×78247257003300² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 78247257003300.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1070948770 + ... + 1071021830.

It is an arithmetic number, because the mean of its divisors is an integer number (497703019968).

Almost surely, 2^{78247257003300} is an apocalyptic number.

78247257003300 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 78247257003300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143338469750784).

78247257003300 is an abundant number, since it is smaller than the sum of its proper divisors (208429682498268).

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

78247257003300 is a wasteful number, since it uses less digits than its factorization.

78247257003300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73820 (or 73813 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 48.

The spelling of 78247257003300 in words is "seventy-eight trillion, two hundred forty-seven billion, two hundred fifty-seven million, three thousand, three hundred".