735086880 has 384 divisors, whose sum is σ = 2903040000. Its totient is φ = 172108800.

The previous prime is 735086879. The next prime is 735086887. The reversal of 735086880 is 88680537.

735086880 is a `hidden beast` number, since 7 + 3 + 508 + 68 + 80 = 666.

It is a super-2 number, since 2×735086880² = 1080705442296268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (735086887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1472871 + ... + 1473369.

It is an arithmetic number, because the mean of its divisors is an integer number (7560000).

Almost surely, 2^735086880 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 735086880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451520000).

735086880 is an abundant number, since it is smaller than the sum of its proper divisors (2167953120).

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

735086880 is a wasteful number, since it uses less digits than its factorization.

735086880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 735086880 is about 27112.4856846435. The cubic root of 735086880 is about 902.4979494177.

The spelling of 735086880 in words is "seven hundred thirty-five million, eighty-six thousand, eight hundred eighty".