761770121040 has 480 divisors, whose sum is σ = 2749324032000. Its totient is φ = 188338176000.

The previous prime is 761770121029. The next prime is 761770121059. The reversal of 761770121040 is 40121077167.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 761770120986 and 761770121004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 726186436 + ... + 726187484.

It is an arithmetic number, because the mean of its divisors is an integer number (5727758400).

Almost surely, 2^761770121040 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 761770121040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374662016000).

761770121040 is an abundant number, since it is smaller than the sum of its proper divisors (1987553910960).

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

761770121040 is a wasteful number, since it uses less digits than its factorization.

761770121040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1915 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The spelling of 761770121040 in words is "seven hundred sixty-one billion, seven hundred seventy million, one hundred twenty-one thousand, forty".