79702841400 has 768 divisors, whose sum is σ = 320646144000. Its totient is φ = 16273958400.

The previous prime is 79702841399. The next prime is 79702841411. The reversal of 79702841400 is 414820797.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2571059385 + ... + 2571059415.

It is an arithmetic number, because the mean of its divisors is an integer number (417508000).

Almost surely, 2^79702841400 is an apocalyptic number.

79702841400 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 79702841400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160323072000).

79702841400 is an abundant number, since it is smaller than the sum of its proper divisors (240943302600).

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

79702841400 is a wasteful number, since it uses less digits than its factorization.

79702841400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 79702841400 in words is "seventy-nine billion, seven hundred two million, eight hundred forty-one thousand, four hundred".