782122880 has 256 divisors, whose sum is σ = 2379456000. Its totient is φ = 238755840.

The previous prime is 782122877. The next prime is 782122883. The reversal of 782122880 is 88221287.

It is an interprime number because it is at equal distance from previous prime (782122877) and next prime (782122883).

It is a super-2 number, since 2×782122880² = 1223432398838988800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (782122883) 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, 2907386 + ... + 2907654.

It is an arithmetic number, because the mean of its divisors is an integer number (9294750).

Almost surely, 2^782122880 is an apocalyptic number.

782122880 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 782122880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189728000).

782122880 is an abundant number, since it is smaller than the sum of its proper divisors (1597333120).

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

782122880 is a wasteful number, since it uses less digits than its factorization.

782122880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 38.

The square root of 782122880 is about 27966.4599118301. The cubic root of 782122880 is about 921.3507568501.

The spelling of 782122880 in words is "seven hundred eighty-two million, one hundred twenty-two thousand, eight hundred eighty".