87766470 has 128 divisors (see below), whose sum is σ = 264384000. Its totient is φ = 20522880.

The previous prime is 87766457. The next prime is 87766477. The reversal of 87766470 is 7466778.

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 (87766477) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85621 + ... + 86639.

It is an arithmetic number, because the mean of its divisors is an integer number (2065500).

Almost surely, 2^87766470 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87766470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132192000).

87766470 is an abundant number, since it is smaller than the sum of its proper divisors (176617530).

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

87766470 is a wasteful number, since it uses less digits than its factorization.

87766470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 87766470 is about 9368.3760599156. The cubic root of 87766470 is about 444.4022104081.

The spelling of 87766470 in words is "eighty-seven million, seven hundred sixty-six thousand, four hundred seventy".