79073680 has 80 divisors (see below), whose sum is σ = 211236480. Its totient is φ = 26966016.

The previous prime is 79073669. The next prime is 79073711. The reversal of 79073680 is 8637097.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 188511 + ... + 188929.

It is an arithmetic number, because the mean of its divisors is an integer number (2640456).

Almost surely, 2^79073680 is an apocalyptic number.

79073680 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 79073680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105618240).

79073680 is an abundant number, since it is smaller than the sum of its proper divisors (132162800).

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

79073680 is a wasteful number, since it uses less digits than its factorization.

79073680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 40.

The square root of 79073680 is about 8892.3382751670. The cubic root of 79073680 is about 429.2173975073.

The spelling of 79073680 in words is "seventy-nine million, seventy-three thousand, six hundred eighty".