761920949760 has 160 divisors (see below), whose sum is σ = 2451284348832. Its totient is φ = 201884467200.

The previous prime is 761920949717. The next prime is 761920949767. The reversal of 761920949760 is 67949029167.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 761920949694 and 761920949703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (761920949767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 889810 + ... + 1521710.

Almost surely, 2^761920949760 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 761920949760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225642174416).

761920949760 is an abundant number, since it is smaller than the sum of its proper divisors (1689363399072).

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

761920949760 is a wasteful number, since it uses less digits than its factorization.

761920949760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632084 (or 632068 counting only the distinct ones).

The product of its (nonzero) digits is 10287648, while the sum is 60.

The spelling of 761920949760 in words is "seven hundred sixty-one billion, nine hundred twenty million, nine hundred forty-nine thousand, seven hundred sixty".