79779510 has 48 divisors (see below), whose sum is σ = 210285504. Its totient is φ = 20981376.

The previous prime is 79779509. The next prime is 79779527. The reversal of 79779510 is 1597797.

It is a super-3 number, since 3×79779510³ (a number of 25 digits) contains 333 as substring.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 499 + ... + 12641.

It is an arithmetic number, because the mean of its divisors is an integer number (4380948).

Almost surely, 2^79779510 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79779510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105142752).

79779510 is an abundant number, since it is smaller than the sum of its proper divisors (130505994).

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

79779510 is a wasteful number, since it uses less digits than its factorization.

79779510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12229 (or 12226 counting only the distinct ones).

The product of its (nonzero) digits is 138915, while the sum is 45.

The square root of 79779510 is about 8931.9376397286. The cubic root of 79779510 is about 430.4907143485.

The spelling of 79779510 in words is "seventy-nine million, seven hundred seventy-nine thousand, five hundred ten".