79253856 has 192 divisors, whose sum is σ = 261273600. Its totient is φ = 23155200.

The previous prime is 79253849. The next prime is 79253869. The reversal of 79253856 is 65835297.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 294490 + ... + 294758.

It is an arithmetic number, because the mean of its divisors is an integer number (1360800).

Almost surely, 2^79253856 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 79253856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130636800).

79253856 is an abundant number, since it is smaller than the sum of its proper divisors (182019744).

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

79253856 is a wasteful number, since it uses less digits than its factorization.

79253856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 316 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 79253856 is about 8902.4634792848. The cubic root of 79253856 is about 429.5431528038.

It can be divided in two parts, 7925 and 3856, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 79253856 in words is "seventy-nine million, two hundred fifty-three thousand, eight hundred fifty-six".