76385540 has 96 divisors (see below), whose sum is σ = 201809664. Its totient is φ = 23592960.

The previous prime is 76385527. The next prime is 76385557. The reversal of 76385540 is 4558367.

76385540 = T₁ + T₂ + ... + T₇₇₀.

76385540 is a nontrivial binomial coefficient, being equal to C(772, 3).

It is a junction number, because it is equal to n+sod(n) for n = 76385494 and 76385503.

It is an unprimeable number.

It is the 770-th tetrahedral number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 297092 + ... + 297348.

It is an arithmetic number, because the mean of its divisors is an integer number (2102184).

Almost surely, 2^76385540 is an apocalyptic number.

76385540 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 76385540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100904832).

76385540 is an abundant number, since it is smaller than the sum of its proper divisors (125424124).

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

76385540 is a wasteful number, since it uses less digits than its factorization.

76385540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 38.

The square root of 76385540 is about 8739.8821502352. The cubic root of 76385540 is about 424.2974135575.

The spelling of 76385540 in words is "seventy-six million, three hundred eighty-five thousand, five hundred forty".