742976160 has 192 divisors, whose sum is σ = 2510186112. Its totient is φ = 184057856.

The previous prime is 742976159. The next prime is 742976191. The reversal of 742976160 is 61679247.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 676732 + ... + 677828.

It is an arithmetic number, because the mean of its divisors is an integer number (13073886).

Almost surely, 2^742976160 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 742976160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255093056).

742976160 is an abundant number, since it is smaller than the sum of its proper divisors (1767209952).

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

742976160 is a wasteful number, since it uses less digits than its factorization.

742976160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 742976160 is about 27257.5890349825. The cubic root of 742976160 is about 905.7151373585.

The spelling of 742976160 in words is "seven hundred forty-two million, nine hundred seventy-six thousand, one hundred sixty".