783490478400 has 2520 divisors, whose sum is σ = 3633264670464. Its totient is φ = 159318835200.

The previous prime is 783490478389. The next prime is 783490478401. The reversal of 783490478400 is 4874094387.

783490478400 is a `hidden beast` number, since 7 + 83 + 4 + 90 + 4 + 78 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

It is a super-2 number, since 2×783490478400² (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 (783490478401) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 18220708779 + ... + 18220708821.

Almost surely, 2^783490478400 is an apocalyptic number.

783490478400 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 783490478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1816632335232).

783490478400 is an abundant number, since it is smaller than the sum of its proper divisors (2849774192064).

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

783490478400 is a wasteful number, since it uses less digits than its factorization.

783490478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 783490478400 in words is "seven hundred eighty-three billion, four hundred ninety million, four hundred seventy-eight thousand, four hundred".