79719840 has 288 divisors, whose sum is σ = 297198720. Its totient is φ = 19396608.

The previous prime is 79719833. The next prime is 79719841. The reversal of 79719840 is 4891797.

It is a tau number, because it is divible by the number of its divisors (288).

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 (79719841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 960439 + ... + 960521.

It is an arithmetic number, because the mean of its divisors is an integer number (1031940).

Almost surely, 2^79719840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79719840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148599360).

79719840 is an abundant number, since it is smaller than the sum of its proper divisors (217478880).

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

79719840 is a wasteful number, since it uses less digits than its factorization.

79719840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 79719840 is about 8928.5967542498. The cubic root of 79719840 is about 430.3833610203.

The spelling of 79719840 in words is "seventy-nine million, seven hundred nineteen thousand, eight hundred forty".