761256714240 has 1344 divisors, whose sum is σ = 3168718600320. Its totient is φ = 173266698240.

The previous prime is 761256714209. The next prime is 761256714241. The reversal of 761256714240 is 42417652167.

761256714240 is a `hidden beast` number, since 7 + 6 + 1 + 2 + 567 + 1 + 42 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (761256714241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1861263156 + ... + 1861263564.

It is an arithmetic number, because the mean of its divisors is an integer number (2357677530).

Almost surely, 2^761256714240 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 761256714240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584359300160).

761256714240 is an abundant number, since it is smaller than the sum of its proper divisors (2407461886080).

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

761256714240 is a wasteful number, since it uses less digits than its factorization.

761256714240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 761256714240 in words is "seven hundred sixty-one billion, two hundred fifty-six million, seven hundred fourteen thousand, two hundred forty".