807798561440 has 384 divisors, whose sum is σ = 2197949644800. Its totient is φ = 278089666560.

The previous prime is 807798561389. The next prime is 807798561443. The reversal of 807798561440 is 44165897708.

It is a self number, because there is not a number n which added to its sum of digits gives 807798561440.

It is not an unprimeable number, because it can be changed into a prime (807798561443) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 777476441 + ... + 777477479.

It is an arithmetic number, because the mean of its divisors is an integer number (5723827200).

Almost surely, 2^807798561440 is an apocalyptic number.

807798561440 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 807798561440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1098974822400).

807798561440 is an abundant number, since it is smaller than the sum of its proper divisors (1390151083360).

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

807798561440 is a wasteful number, since it uses less digits than its factorization.

807798561440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1380 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 59.

The spelling of 807798561440 in words is "eight hundred seven billion, seven hundred ninety-eight million, five hundred sixty-one thousand, four hundred forty".