29790720 has 160 divisors (see below), whose sum is σ = 106064640. Its totient is φ = 7925760.

The previous prime is 29790713. The next prime is 29790731. The reversal of 29790720 is 2709792.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 68905 + ... + 69335.

It is an arithmetic number, because the mean of its divisors is an integer number (662904).

Almost surely, 2^29790720 is an apocalyptic number.

29790720 is a gapful number since it is divisible by the number (20) 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 29790720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53032320).

29790720 is an abundant number, since it is smaller than the sum of its proper divisors (76273920).

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

29790720 is an equidigital number, since it uses as much as digits as its factorization.

29790720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 29790720 is about 5458.0875771647. The cubic root of 29790720 is about 309.9990287864. Note that the first 3 decimals are identical.

The spelling of 29790720 in words is "twenty-nine million, seven hundred ninety thousand, seven hundred twenty".