87762240 has 168 divisors, whose sum is σ = 311920128. Its totient is φ = 22625280.

The previous prime is 87762229. The next prime is 87762247. The reversal of 87762240 is 4226778.

It is a super-3 number, since 3×87762240³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 87762195 and 87762204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87762247) 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 23 ways as a sum of consecutive naturals, for example, 88789 + ... + 89771.

Almost surely, 2^87762240 is an apocalyptic number.

87762240 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 87762240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155960064).

87762240 is an abundant number, since it is smaller than the sum of its proper divisors (224157888).

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

87762240 is a wasteful number, since it uses less digits than its factorization.

87762240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 87762240 is about 9368.1502976842. The cubic root of 87762240 is about 444.3950708115.

The spelling of 87762240 in words is "eighty-seven million, seven hundred sixty-two thousand, two hundred forty".