78584880 has 240 divisors, whose sum is σ = 285053184. Its totient is φ = 17756160.

The previous prime is 78584843. The next prime is 78584899. The reversal of 78584880 is 8848587.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×78584880² = 12351166729228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 762909 + ... + 763011.

Almost surely, 2^78584880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78584880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142526592).

78584880 is an abundant number, since it is smaller than the sum of its proper divisors (206468304).

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

78584880 is a wasteful number, since it uses less digits than its factorization.

78584880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 48.

The square root of 78584880 is about 8864.8113347098. The cubic root of 78584880 is about 428.3311554779.

The spelling of 78584880 in words is "seventy-eight million, five hundred eighty-four thousand, eight hundred eighty".