79742208 has 216 divisors, whose sum is σ = 267502368. Its totient is φ = 20901888.

The previous prime is 79742191. The next prime is 79742209. The reversal of 79742208 is 80224797.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79742209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 489135 + ... + 489297.

Almost surely, 2^79742208 is an apocalyptic number.

79742208 is a gapful number since it is divisible by the number (78) 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 79742208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133751184).

79742208 is an abundant number, since it is smaller than the sum of its proper divisors (187760160).

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

79742208 is a wasteful number, since it uses less digits than its factorization.

79742208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 79742208 is about 8929.8492708444. The cubic root of 79742208 is about 430.4236099503.

The spelling of 79742208 in words is "seventy-nine million, seven hundred forty-two thousand, two hundred eight".