79434040 has 64 divisors (see below), whose sum is σ = 205286400. Its totient is φ = 27097728.

The previous prime is 79434037. The next prime is 79434067. The reversal of 79434040 is 4043497.

It is a junction number, because it is equal to n+sod(n) for n = 79433993 and 79434011.

It is a congruent number.

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, 66327 + ... + 67513.

It is an arithmetic number, because the mean of its divisors is an integer number (3207600).

Almost surely, 2^79434040 is an apocalyptic number.

79434040 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 79434040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102643200).

79434040 is an abundant number, since it is smaller than the sum of its proper divisors (125852360).

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

79434040 is a wasteful number, since it uses less digits than its factorization.

79434040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 79434040 is about 8912.5776293954. The cubic root of 79434040 is about 429.8684291892.

The spelling of 79434040 in words is "seventy-nine million, four hundred thirty-four thousand, forty".