76904640 has 336 divisors, whose sum is σ = 292900608. Its totient is φ = 19160064.

The previous prime is 76904603. The next prime is 76904693. The reversal of 76904640 is 4640967.

76904640 is a `hidden beast` number, since 7 + 6 + 9 + 0 + 4 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 76904595 and 76904604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1788459 + ... + 1788501.

It is an arithmetic number, because the mean of its divisors is an integer number (871728).

Almost surely, 2^76904640 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 76904640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146450304).

76904640 is an abundant number, since it is smaller than the sum of its proper divisors (215995968).

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

76904640 is a wasteful number, since it uses less digits than its factorization.

76904640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 76904640 is about 8769.5290637525. The cubic root of 76904640 is about 425.2563897027.

The spelling of 76904640 in words is "seventy-six million, nine hundred four thousand, six hundred forty".