76760490240 has 1152 divisors, whose sum is σ = 327395819520. Its totient is φ = 16665772032.

The previous prime is 76760490223. The next prime is 76760490241. The reversal of 76760490240 is 4209406767.

76760490240 is a `hidden beast` number, since 7 + 67 + 60 + 490 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 (76760490241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 488920242 + ... + 488920398.

It is an arithmetic number, because the mean of its divisors is an integer number (284197760).

Almost surely, 2^76760490240 is an apocalyptic number.

76760490240 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 76760490240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163697909760).

76760490240 is an abundant number, since it is smaller than the sum of its proper divisors (250635329280).

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

76760490240 is a wasteful number, since it uses less digits than its factorization.

76760490240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 76760490240 in words is "seventy-six billion, seven hundred sixty million, four hundred ninety thousand, two hundred forty".