79577680 has 160 divisors (see below), whose sum is σ = 241484544. Its totient is φ = 23666688.

The previous prime is 79577669. The next prime is 79577689. The reversal of 79577680 is 8677597.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79577689) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 123439 + ... + 124081.

Almost surely, 2^79577680 is an apocalyptic number.

79577680 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 79577680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120742272).

79577680 is an abundant number, since it is smaller than the sum of its proper divisors (161906864).

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

79577680 is a wasteful number, since it uses less digits than its factorization.

79577680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 49.

The square root of 79577680 is about 8920.6322645875. The cubic root of 79577680 is about 430.1273824878.

The spelling of 79577680 in words is "seventy-nine million, five hundred seventy-seven thousand, six hundred eighty".