79632000 has 384 divisors, whose sum is σ = 330969600. Its totient is φ = 17971200.

The previous prime is 79631971. The next prime is 79632011. The reversal of 79632000 is 23697.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1007961 + ... + 1008039.

It is an arithmetic number, because the mean of its divisors is an integer number (861900).

Almost surely, 2^79632000 is an apocalyptic number.

79632000 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 79632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165484800).

79632000 is an abundant number, since it is smaller than the sum of its proper divisors (251337600).

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

79632000 is a wasteful number, since it uses less digits than its factorization.

79632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 79632000 is about 8923.6763724375. The cubic root of 79632000 is about 430.2252290415.

Adding to 79632000 its reverse (23697), we get a palindrome (79655697).

The spelling of 79632000 in words is "seventy-nine million, six hundred thirty-two thousand".