78022067400 has 960 divisors, whose sum is σ = 303344870400. Its totient is φ = 18496304640.

The previous prime is 78022067399. The next prime is 78022067407. The reversal of 78022067400 is 476022087.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78022067407) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 729178147 + ... + 729178253.

It is an arithmetic number, because the mean of its divisors is an integer number (315984240).

Almost surely, 2^78022067400 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 78022067400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151672435200).

78022067400 is an abundant number, since it is smaller than the sum of its proper divisors (225322803000).

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

78022067400 is a wasteful number, since it uses less digits than its factorization.

78022067400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

Adding to 78022067400 its reverse (476022087), we get a palindrome (78498089487).

The spelling of 78022067400 in words is "seventy-eight billion, twenty-two million, sixty-seven thousand, four hundred".