742830480 has 320 divisors, whose sum is σ = 2968619520. Its totient is φ = 167215104.

The previous prime is 742830449. The next prime is 742830499. The reversal of 742830480 is 84038247.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1103424 + ... + 1104096.

It is an arithmetic number, because the mean of its divisors is an integer number (9276936).

Almost surely, 2^742830480 is an apocalyptic number.

742830480 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 742830480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484309760).

742830480 is an abundant number, since it is smaller than the sum of its proper divisors (2225789040).

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

742830480 is a wasteful number, since it uses less digits than its factorization.

742830480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 742830480 is about 27254.9166206760. The cubic root of 742830480 is about 905.6559370714.

The spelling of 742830480 in words is "seven hundred forty-two million, eight hundred thirty thousand, four hundred eighty".