830078400 has 84 divisors (see below), whose sum is σ = 2723364632. Its totient is φ = 221352960.

The previous prime is 830078383. The next prime is 830078443. The reversal of 830078400 is 4870038.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81667 + ... + 91266.

Almost surely, 2^830078400 is an apocalyptic number.

830078400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

830078400 is an abundant number, since it is smaller than the sum of its proper divisors (1893286232).

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

830078400 is a wasteful number, since it uses less digits than its factorization.

830078400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172958 (or 172943 counting only the distinct ones).

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

The square root of 830078400 is about 28811.0812015099. The cubic root of 830078400 is about 939.8092264125.

The spelling of 830078400 in words is "eight hundred thirty million, seventy-eight thousand, four hundred".