78806649600 has 1512 divisors, whose sum is σ = 354595082240. Its totient is φ = 16930529280.

The previous prime is 78806649599. The next prime is 78806649637. The reversal of 78806649600 is 694660887.

78806649600 is a `hidden beast` number, since 78 + 80 + 6 + 6 + 496 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 620524737 + ... + 620524863.

Almost surely, 2^78806649600 is an apocalyptic number.

78806649600 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 78806649600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177297541120).

78806649600 is an abundant number, since it is smaller than the sum of its proper divisors (275788432640).

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

78806649600 is a wasteful number, since it uses less digits than its factorization.

78806649600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 78806649600 in words is "seventy-eight billion, eight hundred six million, six hundred forty-nine thousand, six hundred".