87773280 has 192 divisors, whose sum is σ = 319915008. Its totient is φ = 19814400.

The previous prime is 87773249. The next prime is 87773281. The reversal of 87773280 is 8237778.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87773281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 507274 + ... + 507446.

It is an arithmetic number, because the mean of its divisors is an integer number (1666224).

Almost surely, 2^87773280 is an apocalyptic number.

87773280 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 87773280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159957504).

87773280 is an abundant number, since it is smaller than the sum of its proper divisors (232141728).

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

87773280 is a wasteful number, since it uses less digits than its factorization.

87773280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 42.

The square root of 87773280 is about 9368.7395096672. The cubic root of 87773280 is about 444.4137041702.

The spelling of 87773280 in words is "eighty-seven million, seven hundred seventy-three thousand, two hundred eighty".