79655221800 has 480 divisors, whose sum is σ = 344925155520. Its totient is φ = 16551475200.

The previous prime is 79655221783. The next prime is 79655221801. The reversal of 79655221800 is 812255697.

79655221800 is a `hidden beast` number, since 7 + 96 + 552 + 2 + 1 + 8 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (79655221801) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1215472 + ... + 1279328.

It is an arithmetic number, because the mean of its divisors is an integer number (718594074).

Almost surely, 2^79655221800 is an apocalyptic number.

79655221800 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 79655221800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172462577760).

79655221800 is an abundant number, since it is smaller than the sum of its proper divisors (265269933720).

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

79655221800 is a wasteful number, since it uses less digits than its factorization.

79655221800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63903 (or 63885 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 79655221800 in words is "seventy-nine billion, six hundred fifty-five million, two hundred twenty-one thousand, eight hundred".