78629000 has 64 divisors (see below), whose sum is σ = 187153200. Its totient is φ = 30912000.

The previous prime is 78628999. The next prime is 78629027. The reversal of 78629000 is 92687.

It can be written as a sum of positive squares in 8 ways, for example, as 164836 + 78464164 = 406^2 + 8858^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60356 + ... + 61644.

Almost surely, 2^78629000 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 78629000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93576600).

78629000 is an abundant number, since it is smaller than the sum of its proper divisors (108524200).

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

78629000 is a wasteful number, since it uses less digits than its factorization.

78629000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1371 (or 1357 counting only the distinct ones).

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

The square root of 78629000 is about 8867.2994761652. The cubic root of 78629000 is about 428.4112999664.

The spelling of 78629000 in words is "seventy-eight million, six hundred twenty-nine thousand".