783484416 has 480 divisors, whose sum is σ = 2815132320. Its totient is φ = 206438400.

The previous prime is 783484379. The next prime is 783484447. The reversal of 783484416 is 614484387.

It is a super-2 number, since 2×783484416² = 1227695660229722112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19109356 + ... + 19109396.

It is an arithmetic number, because the mean of its divisors is an integer number (5864859).

Almost surely, 2^783484416 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 783484416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407566160).

783484416 is an abundant number, since it is smaller than the sum of its proper divisors (2031647904).

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

783484416 is a wasteful number, since it uses less digits than its factorization.

783484416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 99 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 783484416 is about 27990.7916286767. The cubic root of 783484416 is about 921.8850825227.

The spelling of 783484416 in words is "seven hundred eighty-three million, four hundred eighty-four thousand, four hundred sixteen".