783480000 has 140 divisors (see below), whose sum is σ = 2590764440. Its totient is φ = 208896000.

The previous prime is 783479993. The next prime is 783480007. The reversal of 783480000 is 84387.

783480000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (783479993) and next prime (783480007).

It is a super-2 number, since 2×783480000² = 1227681820800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 783480000.

It is not an unprimeable number, because it can be changed into a prime (783480007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 116736 + ... + 123264.

Almost surely, 2^783480000 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 783480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295382220).

783480000 is an abundant number, since it is smaller than the sum of its proper divisors (1807284440).

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

783480000 is an equidigital number, since it uses as much as digits as its factorization.

783480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6564 (or 6539 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 783480000 is about 27990.7127454804. The cubic root of 783480000 is about 921.8833504941.

The spelling of 783480000 in words is "seven hundred eighty-three million, four hundred eighty thousand".