80076003840 has 1440 divisors, whose sum is σ = 348432948864. Its totient is φ = 17557585920.

The previous prime is 80076003817. The next prime is 80076003863. The reversal of 80076003840 is 4830067008.

80076003840 is a `hidden beast` number, since 8 + 0 + 0 + 7 + 600 + 3 + 8 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (80076003817) and next prime (80076003863).

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a junction number, because it is equal to n+sod(n) for n = 80076003795 and 80076003804.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1127831005 + ... + 1127831075.

Almost surely, 2^80076003840 is an apocalyptic number.

80076003840 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 80076003840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174216474432).

80076003840 is an abundant number, since it is smaller than the sum of its proper divisors (268356945024).

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

80076003840 is an equidigital number, since it uses as much as digits as its factorization.

80076003840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 80076003840 in words is "eighty billion, seventy-six million, three thousand, eight hundred forty".