76161540 has 288 divisors, whose sum is σ = 280385280. Its totient is φ = 15095808.

The previous prime is 76161523. The next prime is 76161551. The reversal of 76161540 is 4516167.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 76161498 and 76161507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2058402 + ... + 2058438.

It is an arithmetic number, because the mean of its divisors is an integer number (973560).

Almost surely, 2^76161540 is an apocalyptic number.

76161540 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 76161540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140192640).

76161540 is an abundant number, since it is smaller than the sum of its proper divisors (204223740).

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

76161540 is a wasteful number, since it uses less digits than its factorization.

76161540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 76161540 is about 8727.0579234929. The cubic root of 76161540 is about 423.8822578609.

The spelling of 76161540 in words is "seventy-six million, one hundred sixty-one thousand, five hundred forty".