76931040 has 96 divisors (see below), whose sum is σ = 245379456. Its totient is φ = 20257280.

The previous prime is 76931033. The next prime is 76931051. The reversal of 76931040 is 4013967.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 76930989 and 76931007.

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, 38875 + ... + 40805.

It is an arithmetic number, because the mean of its divisors is an integer number (2556036).

Almost surely, 2^76931040 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 76931040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122689728).

76931040 is an abundant number, since it is smaller than the sum of its proper divisors (168448416).

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

76931040 is a wasteful number, since it uses less digits than its factorization.

76931040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2032 (or 2024 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 76931040 is about 8771.0341465531. The cubic root of 76931040 is about 425.3050451297.

The spelling of 76931040 in words is "seventy-six million, nine hundred thirty-one thousand, forty".