807545138400 has 2880 divisors, whose sum is σ = 4176767669760. Its totient is φ = 145782374400.

The previous prime is 807545138381. The next prime is 807545138441. The reversal of 807545138400 is 4831545708.

807545138400 is a `hidden beast` number, since 8 + 0 + 7 + 54 + 513 + 84 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 47502655192 + ... + 47502655208.

It is an arithmetic number, because the mean of its divisors is an integer number (1450266552).

Almost surely, 2^807545138400 is an apocalyptic number.

807545138400 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 807545138400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2088383834880).

807545138400 is an abundant number, since it is smaller than the sum of its proper divisors (3369222531360).

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

807545138400 is a wasteful number, since it uses less digits than its factorization.

807545138400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 807545138400 in words is "eight hundred seven billion, five hundred forty-five million, one hundred thirty-eight thousand, four hundred".