807942400 has 54 divisors (see below), whose sum is σ = 1999799522. Its totient is φ = 323174400.

The previous prime is 807942353. The next prime is 807942409. The reversal of 807942400 is 4249708.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 473344 + 807469056 = 688^2 + 28416^2 .

It is not an unprimeable number, because it can be changed into a prime (807942409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56721 + ... + 69520.

Almost surely, 2^807942400 is an apocalyptic number.

807942400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

807942400 is an abundant number, since it is smaller than the sum of its proper divisors (1191857122).

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

807942400 is a wasteful number, since it uses less digits than its factorization.

807942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126267 (or 126248 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 807942400 is about 28424.3276085821. The cubic root of 807942400 is about 931.3797687124.

The spelling of 807942400 in words is "eight hundred seven million, nine hundred forty-two thousand, four hundred".