87764320 has 96 divisors (see below), whose sum is σ = 247339008. Its totient is φ = 28773888.

The previous prime is 87764291. The next prime is 87764321. The reversal of 87764320 is 2346778.

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 87764320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87764321) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 24057 + ... + 27463.

It is an arithmetic number, because the mean of its divisors is an integer number (2576448).

Almost surely, 2^87764320 is an apocalyptic number.

87764320 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 87764320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123669504).

87764320 is an abundant number, since it is smaller than the sum of its proper divisors (159574688).

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

87764320 is a wasteful number, since it uses less digits than its factorization.

87764320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3452 (or 3444 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 37.

The square root of 87764320 is about 9368.2613114708. The cubic root of 87764320 is about 444.3985815638.

The spelling of 87764320 in words is "eighty-seven million, seven hundred sixty-four thousand, three hundred twenty".