784054040 has 128 divisors (see below), whose sum is σ = 2209766400. Its totient is φ = 243233280.

The previous prime is 784054039. The next prime is 784054049. The reversal of 784054040 is 40450487.

It is a super-2 number, since 2×784054040² = 1229481475280643200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 784053988 and 784054006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (784054049) 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, 852701 + ... + 853619.

It is an arithmetic number, because the mean of its divisors is an integer number (17263800).

Almost surely, 2^784054040 is an apocalyptic number.

784054040 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 784054040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104883200).

784054040 is an abundant number, since it is smaller than the sum of its proper divisors (1425712360).

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

784054040 is a wasteful number, since it uses less digits than its factorization.

784054040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 32.

The square root of 784054040 is about 28000.9649833716. The cubic root of 784054040 is about 922.1084439774.

The spelling of 784054040 in words is "seven hundred eighty-four million, fifty-four thousand, forty".