783364680 has 192 divisors, whose sum is σ = 3062966400. Its totient is φ = 169620480.

The previous prime is 783364649. The next prime is 783364693. The reversal of 783364680 is 86463387.

It is a super-2 number, since 2×783364680² = 1227320443743004800, 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39700 + ... + 56060.

It is an arithmetic number, because the mean of its divisors is an integer number (15952950).

Almost surely, 2^783364680 is an apocalyptic number.

783364680 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 783364680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531483200).

783364680 is an abundant number, since it is smaller than the sum of its proper divisors (2279601720).

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

783364680 is a wasteful number, since it uses less digits than its factorization.

783364680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16404 (or 16397 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 783364680 is about 27988.6527006928. The cubic root of 783364680 is about 921.8381177699.

The spelling of 783364680 in words is "seven hundred eighty-three million, three hundred sixty-four thousand, six hundred eighty".