78073000 has 64 divisors (see below), whose sum is σ = 184738320. Its totient is φ = 30880000.

The previous prime is 78072983. The next prime is 78073007. The reversal of 78073000 is 37087.

It can be written as a sum of positive squares in 8 ways, for example, as 3319684 + 74753316 = 1822^2 + 8646^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (78073007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100614 + ... + 101386.

Almost surely, 2^78073000 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 78073000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92369160).

78073000 is an abundant number, since it is smaller than the sum of its proper divisors (106665320).

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

78073000 is a wasteful number, since it uses less digits than its factorization.

78073000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 25.

The square root of 78073000 is about 8835.8927109829. The cubic root of 78073000 is about 427.3991189522.

The spelling of 78073000 in words is "seventy-eight million, seventy-three thousand".