78625821600 has 216 divisors, whose sum is σ = 278807780160. Its totient is φ = 20849410560.

The previous prime is 78625821523. The next prime is 78625821613. The reversal of 78625821600 is 612852687.

78625821600 is a `hidden beast` number, since 7 + 8 + 6 + 2 + 582 + 1 + 60 + 0 = 666.

It is a super-3 number, since 3×78625821600³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1258297 + ... + 1319303.

It is an arithmetic number, because the mean of its divisors is an integer number (1290776760).

Almost surely, 2^78625821600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78625821600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139403890080).

78625821600 is an abundant number, since it is smaller than the sum of its proper divisors (200181958560).

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

78625821600 is a wasteful number, since it uses less digits than its factorization.

78625821600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61212 (or 61196 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 78625821600 in words is "seventy-eight billion, six hundred twenty-five million, eight hundred twenty-one thousand, six hundred".