86764080 has 80 divisors (see below), whose sum is σ = 289668960. Its totient is φ = 21356544.

The previous prime is 86764079. The next prime is 86764081. The reversal of 86764080 is 8046768.

It is an interprime number because it is at equal distance from previous prime (86764079) and next prime (86764081).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (86764081) by changing a digit.

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, 10785 + ... + 17024.

It is an arithmetic number, because the mean of its divisors is an integer number (3620862).

Almost surely, 2^86764080 is an apocalyptic number.

86764080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86764080 is an abundant number, since it is smaller than the sum of its proper divisors (202904880).

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

86764080 is a wasteful number, since it uses less digits than its factorization.

86764080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27838 (or 27832 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 86764080 is about 9314.7238284342. The cubic root of 86764080 is about 442.7038736246.

The spelling of 86764080 in words is "eighty-six million, seven hundred sixty-four thousand, eighty".