735138880 has 224 divisors, whose sum is σ = 2200412160. Its totient is φ = 228096000.

The previous prime is 735138851. The next prime is 735138881. The reversal of 735138880 is 88831537.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (735138881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 978505 + ... + 979255.

Almost surely, 2^735138880 is an apocalyptic number.

735138880 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 735138880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100206080).

735138880 is an abundant number, since it is smaller than the sum of its proper divisors (1465273280).

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

735138880 is a wasteful number, since it uses less digits than its factorization.

735138880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

The square root of 735138880 is about 27113.4446354571. Note that the first 3 decimals coincide. The cubic root of 735138880 is about 902.5192297987.

The spelling of 735138880 in words is "seven hundred thirty-five million, one hundred thirty-eight thousand, eight hundred eighty".