87790080 has 320 divisors, whose sum is σ = 339406848. Its totient is φ = 18923520.

The previous prime is 87790069. The next prime is 87790121. The reversal of 87790080 is 8009778.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

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, 1236445 + ... + 1236515.

Almost surely, 2^87790080 is an apocalyptic number.

87790080 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 87790080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169703424).

87790080 is an abundant number, since it is smaller than the sum of its proper divisors (251616768).

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

87790080 is a wasteful number, since it uses less digits than its factorization.

87790080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 39.

The square root of 87790080 is about 9369.6360655044. The cubic root of 87790080 is about 444.4420562835.

The spelling of 87790080 in words is "eighty-seven million, seven hundred ninety thousand, eighty".