761385123840 has 816 divisors, whose sum is σ = 2766319514784. Its totient is φ = 178551521280.

The previous prime is 761385123839. The next prime is 761385123887. The reversal of 761385123840 is 48321583167.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 761385123840.

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, 4401069994 + ... + 4401070166.

Almost surely, 2^761385123840 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 761385123840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383159757392).

761385123840 is an abundant number, since it is smaller than the sum of its proper divisors (2004934390944).

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

761385123840 is a wasteful number, since it uses less digits than its factorization.

761385123840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 761385123840 in words is "seven hundred sixty-one billion, three hundred eighty-five million, one hundred twenty-three thousand, eight hundred forty".