761008478724 has 240 divisors, whose sum is σ = 2215673940480. Its totient is φ = 226182689280.

The previous prime is 761008478723. The next prime is 761008478731. The reversal of 761008478724 is 427874800167.

It is a Smith number, since the sum of its digits (54) 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 (54).

It is not an unprimeable number, because it can be changed into a prime (761008478723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 74290347 + ... + 74300589.

It is an arithmetic number, because the mean of its divisors is an integer number (9231974752).

Almost surely, 2^761008478724 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 761008478724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107836970240).

761008478724 is an abundant number, since it is smaller than the sum of its proper divisors (1454665461756).

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

761008478724 is a wasteful number, since it uses less digits than its factorization.

761008478724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10872 (or 10861 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 54.

The spelling of 761008478724 in words is "seven hundred sixty-one billion, eight million, four hundred seventy-eight thousand, seven hundred twenty-four".