78001786800 has 1620 divisors, whose sum is σ = 360693398520. Its totient is φ = 15467397120.

The previous prime is 78001786777. The next prime is 78001786829. The reversal of 78001786800 is 868710087.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 323 ways as a sum of consecutive naturals, for example, 2108156382 + ... + 2108156418.

It is an arithmetic number, because the mean of its divisors is an integer number (222650246).

Almost surely, 2^78001786800 is an apocalyptic number.

78001786800 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 78001786800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180346699260).

78001786800 is an abundant number, since it is smaller than the sum of its proper divisors (282691611720).

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

78001786800 is a wasteful number, since it uses less digits than its factorization.

78001786800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The spelling of 78001786800 in words is "seventy-eight billion, one million, seven hundred eighty-six thousand, eight hundred".