782070400 has 144 divisors (see below), whose sum is σ = 2042003790. Its totient is φ = 295925760.

The previous prime is 782070361. The next prime is 782070409. The reversal of 782070400 is 4070287.

It can be written as a sum of positive squares in 3 ways, for example, as 756910144 + 25160256 = 27512^2 + 5016^2 .

It is a super-2 number, since 2×782070400² = 1223268221112320000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (782070409) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1154862 + ... + 1155538.

Almost surely, 2^782070400 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 782070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021001895).

782070400 is an abundant number, since it is smaller than the sum of its proper divisors (1259933390).

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

782070400 is a wasteful number, since it uses less digits than its factorization.

782070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

The square root of 782070400 is about 27965.5216293206. The cubic root of 782070400 is about 921.3301490188.

The spelling of 782070400 in words is "seven hundred eighty-two million, seventy thousand, four hundred".