87977760 has 192 divisors, whose sum is σ = 311931648. Its totient is φ = 20680704.

The previous prime is 87977723. The next prime is 87977779. The reversal of 87977760 is 6777978.

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, 143214 + ... + 143826.

It is an arithmetic number, because the mean of its divisors is an integer number (1624644).

Almost surely, 2^87977760 is an apocalyptic number.

87977760 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 87977760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155965824).

87977760 is an abundant number, since it is smaller than the sum of its proper divisors (223953888).

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

87977760 is a wasteful number, since it uses less digits than its factorization.

87977760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 1037232, while the sum is 51.

The square root of 87977760 is about 9379.6460487590. The cubic root of 87977760 is about 444.7585442619.

The spelling of 87977760 in words is "eighty-seven million, nine hundred seventy-seven thousand, seven hundred sixty".