76210605405440 has 144 divisors (see below), whose sum is σ = 199413012335040. Its totient is φ = 27675443036160.

The previous prime is 76210605405439. The next prime is 76210605405479. The reversal of 76210605405440 is 4450450601267.

It is a super-3 number, since 3×76210605405440³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 76210605405391 and 76210605405400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6742952 + ... + 14067288.

It is an arithmetic number, because the mean of its divisors is an integer number (1384812585660).

Almost surely, 2^{76210605405440} 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 76210605405440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99706506167520).

76210605405440 is an abundant number, since it is smaller than the sum of its proper divisors (123202406929600).

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

76210605405440 is a wasteful number, since it uses less digits than its factorization.

76210605405440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7325108 (or 7325094 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 44.

The spelling of 76210605405440 in words is "seventy-six trillion, two hundred ten billion, six hundred five million, four hundred five thousand, four hundred forty".