79628000 has 96 divisors (see below), whose sum is σ = 207331488. Its totient is φ = 29952000.

The previous prime is 79627987. The next prime is 79628023. The reversal of 79628000 is 82697.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67415 + ... + 68585.

It is an arithmetic number, because the mean of its divisors is an integer number (2159703).

Almost surely, 2^79628000 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 79628000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103665744).

79628000 is an abundant number, since it is smaller than the sum of its proper divisors (127703488).

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

79628000 is a wasteful number, since it uses less digits than its factorization.

79628000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 79628000 is about 8923.4522467485. The cubic root of 79628000 is about 430.2180253640.

The spelling of 79628000 in words is "seventy-nine million, six hundred twenty-eight thousand".