87980480 has 168 divisors, whose sum is σ = 252959616. Its totient is φ = 29030400.

The previous prime is 87980479. The next prime is 87980509. The reversal of 87980480 is 8408978.

It is a happy number.

It is a super-2 number, since 2×87980480² = 15481129722060800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 485990 + ... + 486170.

It is an arithmetic number, because the mean of its divisors is an integer number (1505712).

Almost surely, 2^87980480 is an apocalyptic number.

87980480 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 87980480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126479808).

87980480 is an abundant number, since it is smaller than the sum of its proper divisors (164979136).

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

87980480 is a wasteful number, since it uses less digits than its factorization.

87980480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 44.

The square root of 87980480 is about 9379.7910424487. The cubic root of 87980480 is about 444.7631277338.

The spelling of 87980480 in words is "eighty-seven million, nine hundred eighty thousand, four hundred eighty".