79760023200 has 1296 divisors, whose sum is σ = 341215973280. Its totient is φ = 17372160000.

The previous prime is 79760023153. The next prime is 79760023249. The reversal of 79760023200 is 232006797.

79760023200 is a `hidden beast` number, since 7 + 9 + 7 + 600 + 23 + 20 + 0 = 666.

It is a super-2 number, since 2×79760023200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 789703150 + ... + 789703250.

It is an arithmetic number, because the mean of its divisors is an integer number (263283930).

Almost surely, 2^79760023200 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 79760023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170607986640).

79760023200 is an abundant number, since it is smaller than the sum of its proper divisors (261455950080).

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

79760023200 is a wasteful number, since it uses less digits than its factorization.

79760023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

Adding to 79760023200 its reverse (232006797), we get a palindrome (79992029997).

The spelling of 79760023200 in words is "seventy-nine billion, seven hundred sixty million, twenty-three thousand, two hundred".