807119400480 has 192 divisors, whose sum is σ = 2581705840896. Its totient is φ = 211914752000.

The previous prime is 807119400443. The next prime is 807119400499. The reversal of 807119400480 is 84004911708.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25919320 + ... + 25950440.

It is an arithmetic number, because the mean of its divisors is an integer number (13446384588).

Almost surely, 2^807119400480 is an apocalyptic number.

807119400480 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 807119400480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290852920448).

807119400480 is an abundant number, since it is smaller than the sum of its proper divisors (1774586440416).

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

807119400480 is a wasteful number, since it uses less digits than its factorization.

807119400480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31971 (or 31963 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The spelling of 807119400480 in words is "eight hundred seven billion, one hundred nineteen million, four hundred thousand, four hundred eighty".