807350400 has 432 divisors, whose sum is σ = 3091787790. Its totient is φ = 200540160.

The previous prime is 807350387. The next prime is 807350419. The reversal of 807350400 is 4053708.

It can be written as a sum of positive squares in 9 ways, for example, as 199826496 + 607523904 = 14136^2 + 24648^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 8323152 + ... + 8323248.

Almost surely, 2^807350400 is an apocalyptic number.

807350400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 807350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545893895).

807350400 is an abundant number, since it is smaller than the sum of its proper divisors (2284437390).

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

807350400 is a wasteful number, since it uses less digits than its factorization.

807350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 807350400 is about 28413.9120854556. The cubic root of 807350400 is about 931.1522312266.

The spelling of 807350400 in words is "eight hundred seven million, three hundred fifty thousand, four hundred".