78071000 has 128 divisors (see below), whose sum is σ = 220147200. Its totient is φ = 25315200.

The previous prime is 78070991. The next prime is 78071003. The reversal of 78071000 is 17087.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78071003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132707 + ... + 133293.

It is an arithmetic number, because the mean of its divisors is an integer number (1719900).

Almost surely, 2^78071000 is an apocalyptic number.

78071000 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 78071000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110073600).

78071000 is an abundant number, since it is smaller than the sum of its proper divisors (142076200).

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

78071000 is a wasteful number, since it uses less digits than its factorization.

78071000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 23.

The square root of 78071000 is about 8835.7795355022. The cubic root of 78071000 is about 427.3954693528.

Adding to 78071000 its reverse (17087), we get a palindrome (78088087).

The spelling of 78071000 in words is "seventy-eight million, seventy-one thousand".