79690262400 has 960 divisors, whose sum is σ = 339383278080. Its totient is φ = 18037002240.

The previous prime is 79690262389. The next prime is 79690262401. The reversal of 79690262400 is 426209697.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79690262401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 303004669 + ... + 303004931.

It is an arithmetic number, because the mean of its divisors is an integer number (353524248).

Almost surely, 2^79690262400 is an apocalyptic number.

79690262400 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 79690262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169691639040).

79690262400 is an abundant number, since it is smaller than the sum of its proper divisors (259693015680).

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

79690262400 is a wasteful number, since it uses less digits than its factorization.

79690262400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 79690262400 in words is "seventy-nine billion, six hundred ninety million, two hundred sixty-two thousand, four hundred".