87769440 has 192 divisors, whose sum is σ = 335301120. Its totient is φ = 21265920.

The previous prime is 87769421. The next prime is 87769441. The reversal of 87769440 is 4496778.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87769441) 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, 46597 + ... + 48443.

It is an arithmetic number, because the mean of its divisors is an integer number (1746360).

Almost surely, 2^87769440 is an apocalyptic number.

87769440 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 87769440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167650560).

87769440 is an abundant number, since it is smaller than the sum of its proper divisors (247531680).

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

87769440 is a wasteful number, since it uses less digits than its factorization.

87769440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1882 (or 1868 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 87769440 is about 9368.5345705719. The cubic root of 87769440 is about 444.4072231792.

It can be divided in two parts, 87769 and 440, that added together give a square (88209 = 297²).

The spelling of 87769440 in words is "eighty-seven million, seven hundred sixty-nine thousand, four hundred forty".