735978960 has 360 divisors, whose sum is σ = 2743636896. Its totient is φ = 183306240.

The previous prime is 735978953. The next prime is 735978961. The reversal of 735978960 is 69879537.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 735978897 and 735978906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (735978961) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5618095 + ... + 5618225.

Almost surely, 2^735978960 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 735978960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371818448).

735978960 is an abundant number, since it is smaller than the sum of its proper divisors (2007657936).

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

735978960 is a wasteful number, since it uses less digits than its factorization.

735978960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The square root of 735978960 is about 27128.9321573850. The cubic root of 735978960 is about 902.8628835635.

The spelling of 735978960 in words is "seven hundred thirty-five million, nine hundred seventy-eight thousand, nine hundred sixty".