807942878000 has 320 divisors, whose sum is σ = 2059954011648. Its totient is φ = 306124185600.

The previous prime is 807942877967. The next prime is 807942878023. The reversal of 807942878000 is 878249708.

It is a happy number.

807942878000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×807942878000² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 810373502 + ... + 810374498.

Almost surely, 2^807942878000 is an apocalyptic number.

807942878000 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 807942878000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029977005824).

807942878000 is an abundant number, since it is smaller than the sum of its proper divisors (1252011133648).

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

807942878000 is a wasteful number, since it uses less digits than its factorization.

807942878000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 53.

The spelling of 807942878000 in words is "eight hundred seven billion, nine hundred forty-two million, eight hundred seventy-eight thousand".