782783820 has 216 divisors, whose sum is σ = 2975014224. Its totient is φ = 165134592.

The previous prime is 782783791. The next prime is 782783839. The reversal of 782783820 is 28387287.

It is a super-2 number, since 2×782783820² = 1225501017707584800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 111247 + ... + 118073.

It is an arithmetic number, because the mean of its divisors is an integer number (13773214).

Almost surely, 2^782783820 is an apocalyptic number.

782783820 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 782783820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487507112).

782783820 is an abundant number, since it is smaller than the sum of its proper divisors (2192230404).

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

782783820 is a wasteful number, since it uses less digits than its factorization.

782783820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6869 (or 6857 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 782783820 is about 27978.2740711431. The cubic root of 782783820 is about 921.6102157026.

The spelling of 782783820 in words is "seven hundred eighty-two million, seven hundred eighty-three thousand, eight hundred twenty".