79780800 has 168 divisors, whose sum is σ = 285731712. Its totient is φ = 19328000.

The previous prime is 79780777. The next prime is 79780801. The reversal of 79780800 is 808797.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79780801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52045 + ... + 53555.

It is an arithmetic number, because the mean of its divisors is an integer number (1700784).

Almost surely, 2^79780800 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 79780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142865856).

79780800 is an abundant number, since it is smaller than the sum of its proper divisors (205950912).

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

79780800 is a wasteful number, since it uses less digits than its factorization.

79780800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547 (or 1532 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 39.

The square root of 79780800 is about 8932.0098522113. The cubic root of 79780800 is about 430.4930346185.

The spelling of 79780800 in words is "seventy-nine million, seven hundred eighty thousand, eight hundred".