78366442000 has 320 divisors, whose sum is σ = 239132694528. Its totient is φ = 24127680000.

The previous prime is 78366441983. The next prime is 78366442003. The reversal of 78366442000 is 24466387.

It is a happy number.

It is a super-2 number, since 2×78366442000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (78366442003) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 12778935 + ... + 12785065.

Almost surely, 2^78366442000 is an apocalyptic number.

78366442000 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 78366442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119566347264).

78366442000 is an abundant number, since it is smaller than the sum of its proper divisors (160766252528).

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

78366442000 is a wasteful number, since it uses less digits than its factorization.

78366442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6255 (or 6239 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The spelling of 78366442000 in words is "seventy-eight billion, three hundred sixty-six million, four hundred forty-two thousand".