78733494000 has 1440 divisors, whose sum is σ = 348313867200. Its totient is φ = 16463462400.

The previous prime is 78733493989. The next prime is 78733494013. The reversal of 78733494000 is 49433787.

It is a happy number.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 884645956 + ... + 884646044.

It is an arithmetic number, because the mean of its divisors is an integer number (241884630).

Almost surely, 2^78733494000 is an apocalyptic number.

78733494000 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 78733494000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174156933600).

78733494000 is an abundant number, since it is smaller than the sum of its proper divisors (269580373200).

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

78733494000 is a wasteful number, since it uses less digits than its factorization.

78733494000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 78733494000 in words is "seventy-eight billion, seven hundred thirty-three million, four hundred ninety-four thousand".