78222866400 has 648 divisors, whose sum is σ = 327499819920. Its totient is φ = 17871114240.

The previous prime is 78222866399. The next prime is 78222866413. The reversal of 78222866400 is 466822287.

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-2 number, since 2×78222866400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 36740536 + ... + 36742664.

Almost surely, 2^78222866400 is an apocalyptic number.

78222866400 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 78222866400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163749909960).

78222866400 is an abundant number, since it is smaller than the sum of its proper divisors (249276953520).

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

78222866400 is an equidigital number, since it uses as much as digits as its factorization.

78222866400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2180 (or 2146 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 78222866400 in words is "seventy-eight billion, two hundred twenty-two million, eight hundred sixty-six thousand, four hundred".