79769448 has 240 divisors, whose sum is σ = 265541760. Its totient is φ = 22161600.

The previous prime is 79769419. The next prime is 79769449. The reversal of 79769448 is 84496797.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (3048192) is a multiple of the sum of its prime factors (98).

It is a junction number, because it is equal to n+sod(n) for n = 79769394 and 79769403.

It is not an unprimeable number, because it can be changed into a prime (79769449) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2573193 + ... + 2573223.

It is an arithmetic number, because the mean of its divisors is an integer number (1106424).

Almost surely, 2^79769448 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 79769448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132770880).

79769448 is an abundant number, since it is smaller than the sum of its proper divisors (185772312).

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

79769448 is a wasteful number, since it uses less digits than its factorization.

79769448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 66 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 79769448 is about 8931.3743623252. The cubic root of 79769448 is about 430.4726153834.

It can be divided in two parts, 7976 and 9448, that added together give a square (17424 = 132²).

The spelling of 79769448 in words is "seventy-nine million, seven hundred sixty-nine thousand, four hundred forty-eight".