79663830400 has 384 divisors, whose sum is σ = 256040040960. Its totient is φ = 23749017600.

The previous prime is 79663830371. The next prime is 79663830427. The reversal of 79663830400 is 403836697.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5660172 + ... + 5674228.

It is an arithmetic number, because the mean of its divisors is an integer number (666770940).

Almost surely, 2^79663830400 is an apocalyptic number.

79663830400 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 79663830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128020020480).

79663830400 is an abundant number, since it is smaller than the sum of its proper divisors (176376210560).

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

79663830400 is a wasteful number, since it uses less digits than its factorization.

79663830400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14122 (or 14105 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 46.

The spelling of 79663830400 in words is "seventy-nine billion, six hundred sixty-three million, eight hundred thirty thousand, four hundred".