76210385440 has 96 divisors (see below), whose sum is σ = 206246767104. Its totient is φ = 26068485120.

The previous prime is 76210385431. The next prime is 76210385473. The reversal of 76210385440 is 4458301267.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 76210385393 and 76210385402.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 403782 + ... + 561658.

It is an arithmetic number, because the mean of its divisors is an integer number (2148403824).

Almost surely, 2^76210385440 is an apocalyptic number.

76210385440 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 76210385440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103123383552).

76210385440 is an abundant number, since it is smaller than the sum of its proper divisors (130036381664).

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

76210385440 is a wasteful number, since it uses less digits than its factorization.

76210385440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158330 (or 158322 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 76210385440 in words is "seventy-six billion, two hundred ten million, three hundred eighty-five thousand, four hundred forty".