87079680 has 108 divisors (see below), whose sum is σ = 301326480. Its totient is φ = 23218176.

The previous prime is 87079649. The next prime is 87079711. The reversal of 87079680 is 8697078.

It is an interprime number because it is at equal distance from previous prime (87079649) and next prime (87079711).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7741 + ... + 15299.

It is an arithmetic number, because the mean of its divisors is an integer number (2790060).

Almost surely, 2^87079680 is an apocalyptic number.

87079680 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 87079680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150663240).

87079680 is an abundant number, since it is smaller than the sum of its proper divisors (214246800).

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

87079680 is a wasteful number, since it uses less digits than its factorization.

87079680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7586 (or 7569 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 87079680 is about 9331.6493718956. The cubic root of 87079680 is about 443.2399951743.

The spelling of 87079680 in words is "eighty-seven million, seventy-nine thousand, six hundred eighty".