79648380 has 192 divisors, whose sum is σ = 298368000. Its totient is φ = 17231616.

The previous prime is 79648367. The next prime is 79648381. The reversal of 79648380 is 8384697.

It is a happy number.

79648380 is a `hidden beast` number, since 7 + 96 + 483 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79648381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71266 + ... + 72374.

It is an arithmetic number, because the mean of its divisors is an integer number (1554000).

Almost surely, 2^79648380 is an apocalyptic number.

79648380 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 79648380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149184000).

79648380 is an abundant number, since it is smaller than the sum of its proper divisors (218719620).

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

79648380 is a wasteful number, since it uses less digits than its factorization.

79648380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 79648380 is about 8924.5941084175. The cubic root of 79648380 is about 430.2547255844.

The spelling of 79648380 in words is "seventy-nine million, six hundred forty-eight thousand, three hundred eighty".