782074080 has 144 divisors (see below), whose sum is σ = 2677736880. Its totient is φ = 207857664.

The previous prime is 782074079. The next prime is 782074121. The reversal of 782074080 is 80470287.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×782074080² = 1223279733215692800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 545044 + ... + 546476.

It is an arithmetic number, because the mean of its divisors is an integer number (18595395).

Almost surely, 2^782074080 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 782074080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338868440).

782074080 is an abundant number, since it is smaller than the sum of its proper divisors (1895662800).

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

782074080 is a wasteful number, since it uses less digits than its factorization.

782074080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1833 (or 1822 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 782074080 is about 27965.5874245473. The cubic root of 782074080 is about 921.3315941102.

The spelling of 782074080 in words is "seven hundred eighty-two million, seventy-four thousand, eighty".