87797690400 has 432 divisors, whose sum is σ = 337917121920. Its totient is φ = 19737446400.

The previous prime is 87797690381. The next prime is 87797690467. The reversal of 87797690400 is 409679778.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7167481 + ... + 7179719.

It is an arithmetic number, because the mean of its divisors is an integer number (782215560).

Almost surely, 2^87797690400 is an apocalyptic number.

87797690400 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 87797690400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168958560960).

87797690400 is an abundant number, since it is smaller than the sum of its proper divisors (250119431520).

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

87797690400 is a wasteful number, since it uses less digits than its factorization.

87797690400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12337 (or 12317 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 57.

The spelling of 87797690400 in words is "eighty-seven billion, seven hundred ninety-seven million, six hundred ninety thousand, four hundred".