78411110400 has 1440 divisors, whose sum is σ = 345546321120. Its totient is φ = 17199267840.

The previous prime is 78411110357. The next prime is 78411110423. The reversal of 78411110400 is 401111487.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×78411110400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1074124764 + ... + 1074124836.

It is an arithmetic number, because the mean of its divisors is an integer number (239962723).

Almost surely, 2^78411110400 is an apocalyptic number.

78411110400 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 78411110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172773160560).

78411110400 is an abundant number, since it is smaller than the sum of its proper divisors (267135210720).

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

78411110400 is a wasteful number, since it uses less digits than its factorization.

78411110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

Adding to 78411110400 its reverse (401111487), we get a palindrome (78812221887).

The spelling of 78411110400 in words is "seventy-eight billion, four hundred eleven million, one hundred ten thousand, four hundred".