87794784 has 288 divisors, whose sum is σ = 322672896. Its totient is φ = 21980160.

The previous prime is 87794767. The next prime is 87794843. The reversal of 87794784 is 48749778.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 87794784.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 820459 + ... + 820565.

It is an arithmetic number, because the mean of its divisors is an integer number (1120392).

Almost surely, 2^87794784 is an apocalyptic number.

87794784 is a gapful number since it is divisible by the number (84) 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 87794784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161336448).

87794784 is an abundant number, since it is smaller than the sum of its proper divisors (234878112).

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

87794784 is a wasteful number, since it uses less digits than its factorization.

87794784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 167 counting only the distinct ones).

The product of its digits is 3161088, while the sum is 54.

The square root of 87794784 is about 9369.8870857658. The cubic root of 87794784 is about 444.4499942270.

The spelling of 87794784 in words is "eighty-seven million, seven hundred ninety-four thousand, seven hundred eighty-four".