782114480 has 120 divisors (see below), whose sum is σ = 2226844080. Its totient is φ = 254016000.

The previous prime is 782114449. The next prime is 782114491. The reversal of 782114480 is 84411287.

It is a super-2 number, since 2×782114480² = 1223406119651340800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 782114480.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69230 + ... + 79730.

It is an arithmetic number, because the mean of its divisors is an integer number (18557034).

Almost surely, 2^782114480 is an apocalyptic number.

782114480 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 782114480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113422040).

782114480 is an abundant number, since it is smaller than the sum of its proper divisors (1444729600).

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

782114480 is a wasteful number, since it uses less digits than its factorization.

782114480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10547 (or 10534 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 35.

The square root of 782114480 is about 27966.3097315323. The cubic root of 782114480 is about 921.3474584025.

The spelling of 782114480 in words is "seven hundred eighty-two million, one hundred fourteen thousand, four hundred eighty".