79081269120 has 768 divisors, whose sum is σ = 333697553280. Its totient is φ = 16845373440.

The previous prime is 79081269119. The next prime is 79081269131. The reversal of 79081269120 is 2196218097.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77454210 + ... + 77455230.

Almost surely, 2^79081269120 is an apocalyptic number.

79081269120 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 79081269120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166848776640).

79081269120 is an abundant number, since it is smaller than the sum of its proper divisors (254616284160).

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

79081269120 is a wasteful number, since it uses less digits than its factorization.

79081269120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 79081269120 in words is "seventy-nine billion, eighty-one million, two hundred sixty-nine thousand, one hundred twenty".