761126153840 has 160 divisors (see below), whose sum is σ = 1927117906560. Its totient is φ = 277890859008.

The previous prime is 761126153729. The next prime is 761126153857. The reversal of 761126153840 is 48351621167.

It is a junction number, because it is equal to n+sod(n) for n = 761126153791 and 761126153800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51583904 + ... + 51598656.

It is an arithmetic number, because the mean of its divisors is an integer number (12044486916).

Almost surely, 2^761126153840 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 761126153840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963558953280).

761126153840 is an abundant number, since it is smaller than the sum of its proper divisors (1165991752720).

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

761126153840 is a wasteful number, since it uses less digits than its factorization.

761126153840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15331 (or 15325 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 44.

The spelling of 761126153840 in words is "seven hundred sixty-one billion, one hundred twenty-six million, one hundred fifty-three thousand, eight hundred forty".