78220800000 has 936 divisors, whose sum is σ = 326083316832. Its totient is φ = 17694720000.

The previous prime is 78220799999. The next prime is 78220800001. The reversal of 78220800000 is 802287.

It is an interprime number because it is at equal distance from previous prime (78220799999) and next prime (78220800001).

It is a super-2 number, since 2×78220800000² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78220800001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 806399952 + ... + 806400048.

It is an arithmetic number, because the mean of its divisors is an integer number (348379612).

Almost surely, 2^78220800000 is an apocalyptic number.

78220800000 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 78220800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163041658416).

78220800000 is an abundant number, since it is smaller than the sum of its proper divisors (247862516832).

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

78220800000 is an frugal number, since it uses more digits than its factorization.

78220800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The spelling of 78220800000 in words is "seventy-eight billion, two hundred twenty million, eight hundred thousand".