79853760 has 336 divisors, whose sum is σ = 333792576. Its totient is φ = 17104896.

The previous prime is 79853747. The next prime is 79853797. The reversal of 79853760 is 6735897.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×79853760² = 12753245972275200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 342604 + ... + 342836.

Almost surely, 2^79853760 is an apocalyptic number.

79853760 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 79853760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166896288).

79853760 is an abundant number, since it is smaller than the sum of its proper divisors (253938816).

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

79853760 is a wasteful number, since it uses less digits than its factorization.

79853760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 79853760 is about 8936.0931060503. The cubic root of 79853760 is about 430.6242240867.

The spelling of 79853760 in words is "seventy-nine million, eight hundred fifty-three thousand, seven hundred sixty".