807220088400 has 480 divisors, whose sum is σ = 2863871271936. Its totient is φ = 194335680000.

The previous prime is 807220088341. The next prime is 807220088449. The reversal of 807220088400 is 4880022708.

It is a super-2 number, since 2×807220088400² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 241175527 + ... + 241178873.

Almost surely, 2^807220088400 is an apocalyptic number.

807220088400 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 807220088400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431935635968).

807220088400 is an abundant number, since it is smaller than the sum of its proper divisors (2056651183536).

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

807220088400 is a wasteful number, since it uses less digits than its factorization.

807220088400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3552 (or 3519 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The spelling of 807220088400 in words is "eight hundred seven billion, two hundred twenty million, eighty-eight thousand, four hundred".