78073800 has 192 divisors, whose sum is σ = 286588800. Its totient is φ = 17203200.

The previous prime is 78073789. The next prime is 78073813. The reversal of 78073800 is 837087.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 641 × 609 × 200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121480 + ... + 122120.

It is an arithmetic number, because the mean of its divisors is an integer number (1492650).

Almost surely, 2^78073800 is an apocalyptic number.

78073800 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 78073800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143294400).

78073800 is an abundant number, since it is smaller than the sum of its proper divisors (208515000).

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

78073800 is a wasteful number, since it uses less digits than its factorization.

78073800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 78073800 is about 8835.9379807692. The cubic root of 78073800 is about 427.4005787746.

The spelling of 78073800 in words is "seventy-eight million, seventy-three thousand, eight hundred".