78382980 has 288 divisors, whose sum is σ = 282522240. Its totient is φ = 17418240.

The previous prime is 78382979. The next prime is 78382991. The reversal of 78382980 is 8928387.

It is a super-2 number, since 2×78382980² = 12287783107360800, which contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 1822839 + ... + 1822881.

It is an arithmetic number, because the mean of its divisors is an integer number (980980).

Almost surely, 2^78382980 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 78382980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141261120).

78382980 is an abundant number, since it is smaller than the sum of its proper divisors (204139260).

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

78382980 is a wasteful number, since it uses less digits than its factorization.

78382980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 78382980 is about 8853.4162897720. The cubic root of 78382980 is about 427.9640185782.

The spelling of 78382980 in words is "seventy-eight million, three hundred eighty-two thousand, nine hundred eighty".