742907904 has 224 divisors, whose sum is σ = 2191390080. Its totient is φ = 222953472.

The previous prime is 742907887. The next prime is 742907911. The reversal of 742907904 is 409709247.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17276907 + ... + 17276949.

Almost surely, 2^742907904 is an apocalyptic number.

742907904 is a gapful number since it is divisible by the number (74) 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 742907904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1095695040).

742907904 is an abundant number, since it is smaller than the sum of its proper divisors (1448482176).

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

742907904 is a wasteful number, since it uses less digits than its factorization.

742907904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 104 counting only the distinct ones).

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

The square root of 742907904 is about 27256.3369512486. The cubic root of 742907904 is about 905.6874009882.

The spelling of 742907904 in words is "seven hundred forty-two million, nine hundred seven thousand, nine hundred four".