742697760 has 192 divisors, whose sum is σ = 2731180032. Its totient is φ = 166112256.

The previous prime is 742697759. The next prime is 742697779. The reversal of 742697760 is 67796247.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 155569 + ... + 160271.

It is an arithmetic number, because the mean of its divisors is an integer number (14224896).

Almost surely, 2^742697760 is an apocalyptic number.

742697760 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 742697760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365590016).

742697760 is an abundant number, since it is smaller than the sum of its proper divisors (1988482272).

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

742697760 is a wasteful number, since it uses less digits than its factorization.

742697760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4775 (or 4767 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 48.

The square root of 742697760 is about 27252.4817218543. The cubic root of 742697760 is about 905.6019966285.

The spelling of 742697760 in words is "seven hundred forty-two million, six hundred ninety-seven thousand, seven hundred sixty".