783628560 has 640 divisors, whose sum is σ = 3299788800. Its totient is φ = 168376320.

The previous prime is 783628541. The next prime is 783628567. The reversal of 783628560 is 65826387.

783628560 is a `hidden beast` number, since 7 + 83 + 6 + 2 + 8 + 560 = 666.

It is a super-2 number, since 2×783628560² = 1228147440095347200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (783628567) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13281811 + ... + 13281869.

It is an arithmetic number, because the mean of its divisors is an integer number (5155920).

Almost surely, 2^783628560 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 783628560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649894400).

783628560 is an abundant number, since it is smaller than the sum of its proper divisors (2516160240).

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

783628560 is a wasteful number, since it uses less digits than its factorization.

783628560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 783628560 is about 27993.3663570497. The cubic root of 783628560 is about 921.9416146213.

The spelling of 783628560 in words is "seven hundred eighty-three million, six hundred twenty-eight thousand, five hundred sixty".