78005970 has 128 divisors (see below), whose sum is σ = 240192000. Its totient is φ = 17646336.

The previous prime is 78005957. The next prime is 78006011. The reversal of 78005970 is 7950087.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 281472 + ... + 281748.

It is an arithmetic number, because the mean of its divisors is an integer number (1876500).

Almost surely, 2^78005970 is an apocalyptic number.

78005970 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 78005970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120096000).

78005970 is an abundant number, since it is smaller than the sum of its proper divisors (162186030).

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

78005970 is a wasteful number, since it uses less digits than its factorization.

78005970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 78005970 is about 8832.0988445556. The cubic root of 78005970 is about 427.2767686491.

The spelling of 78005970 in words is "seventy-eight million, five thousand, nine hundred seventy".