783398621040 has 480 divisors, whose sum is σ = 2900124005184. Its totient is φ = 174321745920.

The previous prime is 783398621023. The next prime is 783398621041. The reversal of 783398621040 is 40126893387.

783398621040 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×783398621040² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (783398621041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 268561662 + ... + 268564578.

Almost surely, 2^783398621040 is an apocalyptic number.

783398621040 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 783398621040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450062002592).

783398621040 is an abundant number, since it is smaller than the sum of its proper divisors (2116725384144).

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

783398621040 is a wasteful number, since it uses less digits than its factorization.

783398621040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3545 (or 3532 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 783398621040 in words is "seven hundred eighty-three billion, three hundred ninety-eight million, six hundred twenty-one thousand, forty".