76165040 has 80 divisors (see below), whose sum is σ = 207153408. Its totient is φ = 25498368.

The previous prime is 76165031. The next prime is 76165069. The reversal of 76165040 is 4056167.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×76165040² = 11602226636403200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 76164994 and 76165012.

It is a congruent number.

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, 22499 + ... + 25661.

Almost surely, 2^76165040 is an apocalyptic number.

76165040 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 76165040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103576704).

76165040 is an abundant number, since it is smaller than the sum of its proper divisors (130988368).

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

76165040 is a wasteful number, since it uses less digits than its factorization.

76165040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3226 (or 3220 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 76165040 is about 8727.2584469580. The cubic root of 76165040 is about 423.8887509246. Note that the first 3 decimals are identical.

The spelling of 76165040 in words is "seventy-six million, one hundred sixty-five thousand, forty".