87777460 has 48 divisors (see below), whose sum is σ = 195955200. Its totient is φ = 32913920.

The previous prime is 87777451. The next prime is 87777479. The reversal of 87777460 is 6477778.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 87777460.

It is a congruent number.

It is an unprimeable number.

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, 146241 + ... + 146839.

It is an arithmetic number, because the mean of its divisors is an integer number (4082400).

Almost surely, 2^87777460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87777460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97977600).

87777460 is an abundant number, since it is smaller than the sum of its proper divisors (108177740).

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

87777460 is a wasteful number, since it uses less digits than its factorization.

87777460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 460992, while the sum is 46.

The square root of 87777460 is about 9368.9625893159. The cubic root of 87777460 is about 444.4207587840.

The spelling of 87777460 in words is "eighty-seven million, seven hundred seventy-seven thousand, four hundred sixty".