78282406727700 has 432 divisors, whose sum is σ = 272023202400768. Its totient is φ = 17312883840000.

The previous prime is 78282406727699. The next prime is 78282406727737. The reversal of 78282406727700 is 772760428287.

It is a super-2 number, since 2×78282406727700² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3472878430 + ... + 3472900970.

Almost surely, 2^{78282406727700} is an apocalyptic number.

78282406727700 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 78282406727700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136011601200384).

78282406727700 is an abundant number, since it is smaller than the sum of its proper divisors (193740795673068).

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

78282406727700 is a wasteful number, since it uses less digits than its factorization.

78282406727700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30224 (or 30210 counting only the distinct ones).

The product of its (nonzero) digits is 29503488, while the sum is 60.

The spelling of 78282406727700 in words is "seventy-eight trillion, two hundred eighty-two billion, four hundred six million, seven hundred twenty-seven thousand, seven hundred".