629020080 has 480 divisors, whose sum is σ = 2502339840. Its totient is φ = 145566720.

The previous prime is 629020057. The next prime is 629020087. The reversal of 629020080 is 80020926.

629020080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×629020080² = 791332522086412800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (629020087) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4801615 + ... + 4801745.

It is an arithmetic number, because the mean of its divisors is an integer number (5213208).

Almost surely, 2^629020080 is an apocalyptic number.

629020080 is a gapful number since it is divisible by the number (60) 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 629020080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251169920).

629020080 is an abundant number, since it is smaller than the sum of its proper divisors (1873319760).

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

629020080 is a wasteful number, since it uses less digits than its factorization.

629020080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 629020080 is about 25080.2727257899. The cubic root of 629020080 is about 856.8171877069.

The spelling of 629020080 in words is "six hundred twenty-nine million, twenty thousand, eighty".