742906080 has 480 divisors, whose sum is σ = 3161410560. Its totient is φ = 160496640.

The previous prime is 742906067. The next prime is 742906133. The reversal of 742906080 is 80609247.

742906080 is a `hidden beast` number, since 7 + 42 + 9 + 0 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1723465 + ... + 1723895.

It is an arithmetic number, because the mean of its divisors is an integer number (6586272).

Almost surely, 2^742906080 is an apocalyptic number.

742906080 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 742906080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580705280).

742906080 is an abundant number, since it is smaller than the sum of its proper divisors (2418504480).

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

742906080 is a wasteful number, since it uses less digits than its factorization.

742906080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 742906080 is about 27256.3034911193. The cubic root of 742906080 is about 905.6866597679.

The spelling of 742906080 in words is "seven hundred forty-two million, nine hundred six thousand, eighty".