806780400 has 60 divisors (see below), whose sum is σ = 2584390392. Its totient is φ = 215141120.

The previous prime is 806780389. The next prime is 806780417. The reversal of 806780400 is 4087608.

806780400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×806780400² = 1301789227648320000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 334959 + ... + 337358.

Almost surely, 2^806780400 is an apocalyptic number.

806780400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

806780400 is an abundant number, since it is smaller than the sum of its proper divisors (1777609992).

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

806780400 is a wasteful number, since it uses less digits than its factorization.

806780400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672338 (or 672327 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 806780400 is about 28403.8800166456. The cubic root of 806780400 is about 930.9330443952.

The spelling of 806780400 in words is "eight hundred six million, seven hundred eighty thousand, four hundred".