76346249840 has 160 divisors (see below), whose sum is σ = 207515468160. Its totient is φ = 25579487232.

The previous prime is 76346249839. The next prime is 76346249857. The reversal of 76346249840 is 4894264367.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7622756 + ... + 7632764.

It is an arithmetic number, because the mean of its divisors is an integer number (1296971676).

Almost surely, 2^76346249840 is an apocalyptic number.

76346249840 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 76346249840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103757734080).

76346249840 is an abundant number, since it is smaller than the sum of its proper divisors (131169218320).

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

76346249840 is a wasteful number, since it uses less digits than its factorization.

76346249840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10339 (or 10333 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 53.

The spelling of 76346249840 in words is "seventy-six billion, three hundred forty-six million, two hundred forty-nine thousand, eight hundred forty".