76131000 has 192 divisors, whose sum is σ = 281080800. Its totient is φ = 18432000.

The previous prime is 76130987. The next prime is 76131001. The reversal of 76131000 is 13167.

It is a super-2 number, since 2×76131000² = 11591858322000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76131001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98616 + ... + 99384.

Almost surely, 2^76131000 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 76131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140540400).

76131000 is an abundant number, since it is smaller than the sum of its proper divisors (204949800).

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

76131000 is a wasteful number, since it uses less digits than its factorization.

76131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 76131000 is about 8725.3080174857. The cubic root of 76131000 is about 423.8255928002.

Adding to 76131000 its reverse (13167), we get a palindrome (76144167).

The spelling of 76131000 in words is "seventy-six million, one hundred thirty-one thousand".