76949640 has 192 divisors, whose sum is σ = 264092400. Its totient is φ = 19408896.

The previous prime is 76949627. The next prime is 76949647. The reversal of 76949640 is 4694967.

It can be written as a sum of positive squares in 8 ways, for example, as 64545156 + 12404484 = 8034^2 + 3522^2 .

It is a super-2 number, since 2×76949640² = 11842494192259200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (76949647) 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, 705906 + ... + 706014.

Almost surely, 2^76949640 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 76949640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132046200).

76949640 is an abundant number, since it is smaller than the sum of its proper divisors (187142760).

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

76949640 is a wasteful number, since it uses less digits than its factorization.

76949640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 76949640 is about 8772.0943907370. The cubic root of 76949640 is about 425.3393184061.

The spelling of 76949640 in words is "seventy-six million, nine hundred forty-nine thousand, six hundred forty".