80078058000 has 400 divisors, whose sum is σ = 306272991024. Its totient is φ = 20097331200.

The previous prime is 80078057999. The next prime is 80078058023. The reversal of 80078058000 is 85087008.

80078058000 is a `hidden beast` number, since 8 + 0 + 0 + 78 + 0 + 580 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6808230144 + 73269827856 = 82512^2 + 270684^2 .

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-3 number, since 3×80078058000³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2739462 + ... + 2768538.

Almost surely, 2^80078058000 is an apocalyptic number.

80078058000 is a gapful number since it is divisible by the number (80) 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 80078058000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153136495512).

80078058000 is an abundant number, since it is smaller than the sum of its proper divisors (226194933024).

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

80078058000 is a wasteful number, since it uses less digits than its factorization.

80078058000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29129 (or 29104 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 80078058000 in words is "eighty billion, seventy-eight million, fifty-eight thousand".