86762880 has 128 divisors (see below), whose sum is σ = 307346400. Its totient is φ = 23132160.

The previous prime is 86762843. The next prime is 86762881. The reversal of 86762880 is 8826768.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×86762880³ (a number of 25 digits) contains 333 as substring.

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 (86762881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14770 + ... + 19790.

Almost surely, 2^86762880 is an apocalyptic number.

86762880 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 86762880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153673200).

86762880 is an abundant number, since it is smaller than the sum of its proper divisors (220583520).

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

86762880 is a wasteful number, since it uses less digits than its factorization.

86762880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5049 (or 5031 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 86762880 is about 9314.6594140634. The cubic root of 86762880 is about 442.7018326606.

The spelling of 86762880 in words is "eighty-six million, seven hundred sixty-two thousand, eight hundred eighty".