783728640 has 180 divisors, whose sum is σ = 2719398864. Its totient is φ = 208797696.

The previous prime is 783728633. The next prime is 783728689. The reversal of 783728640 is 46827387.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×783728640² = 1228461162312499200, 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 (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 736749 + ... + 737811.

Almost surely, 2^783728640 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 783728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359699432).

783728640 is an abundant number, since it is smaller than the sum of its proper divisors (1935670224).

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

783728640 is a wasteful number, since it uses less digits than its factorization.

783728640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 783728640 is about 27995.1538663391. The cubic root of 783728640 is about 921.9808611019.

The spelling of 783728640 in words is "seven hundred eighty-three million, seven hundred twenty-eight thousand, six hundred forty".