807715490400 has 3888 divisors, whose sum is σ = 4067829642240. Its totient is φ = 149448499200.

The previous prime is 807715490371. The next prime is 807715490411. The reversal of 807715490400 is 4094517708.

It is a happy number.

807715490400 is a `hidden beast` number, since 8 + 0 + 7 + 7 + 154 + 90 + 400 = 666.

It is a super-2 number, since 2×807715490400² (a number of 25 digits) contains 22 as substring.

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

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 26055338385 + ... + 26055338415.

It is an arithmetic number, because the mean of its divisors is an integer number (1046252480).

Almost surely, 2^807715490400 is an apocalyptic number.

807715490400 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 807715490400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2033914821120).

807715490400 is an abundant number, since it is smaller than the sum of its proper divisors (3260114151840).

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

807715490400 is a wasteful number, since it uses less digits than its factorization.

807715490400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 807715490400 in words is "eight hundred seven billion, seven hundred fifteen million, four hundred ninety thousand, four hundred".