78949080 has 240 divisors, whose sum is σ = 308491920. Its totient is φ = 17739648.

The previous prime is 78949043. The next prime is 78949099. The reversal of 78949080 is 8094987.

78949080 is a `hidden beast` number, since 7 + 89 + 490 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 1338091 + ... + 1338149.

It is an arithmetic number, because the mean of its divisors is an integer number (1285383).

Almost surely, 2^78949080 is an apocalyptic number.

78949080 is a gapful number since it is divisible by the number (70) 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 78949080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154245960).

78949080 is an abundant number, since it is smaller than the sum of its proper divisors (229542840).

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

78949080 is a wasteful number, since it uses less digits than its factorization.

78949080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 78949080 is about 8885.3294817919. The cubic root of 78949080 is about 428.9918331860.

The spelling of 78949080 in words is "seventy-eight million, nine hundred forty-nine thousand, eighty".