782500480 has 256 divisors, whose sum is σ = 2141510400. Its totient is φ = 271777792.

The previous prime is 782500471. The next prime is 782500487. The reversal of 782500480 is 84005287.

It is a super-2 number, since 2×782500480² = 1224614002400460800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (782500487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13262691 + ... + 13262749.

It is an arithmetic number, because the mean of its divisors is an integer number (8365275).

Almost surely, 2^782500480 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 782500480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1070755200).

782500480 is an abundant number, since it is smaller than the sum of its proper divisors (1359009920).

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

782500480 is a wasteful number, since it uses less digits than its factorization.

782500480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 34.

The square root of 782500480 is about 27973.2100410375. The cubic root of 782500480 is about 921.4990055384.

782500480 divided by its sum of digits (34) gives a triangular number (23014720 = T₆₇₈₄).

The spelling of 782500480 in words is "seven hundred eighty-two million, five hundred thousand, four hundred eighty".