735220080 has 240 divisors, whose sum is σ = 2988183744. Its totient is φ = 158146560.

The previous prime is 735220069. The next prime is 735220099. The reversal of 735220080 is 80022537.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

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, 81390 + ... + 89970.

Almost surely, 2^735220080 is an apocalyptic number.

735220080 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 735220080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494091872).

735220080 is an abundant number, since it is smaller than the sum of its proper divisors (2252963664).

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

735220080 is a wasteful number, since it uses less digits than its factorization.

735220080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8624 (or 8615 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 735220080 is about 27114.9420062076. The cubic root of 735220080 is about 902.5524579254.

The spelling of 735220080 in words is "seven hundred thirty-five million, two hundred twenty thousand, eighty".