761425920000 has 1280 divisors, whose sum is σ = 3021834578400. Its totient is φ = 191102976000.

The previous prime is 761425919927. The next prime is 761425920001. The reversal of 761425920000 is 29524167.

761425920000 is a `hidden beast` number, since 7 + 61 + 4 + 2 + 592 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 12240 × 10800 × 5760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (761425920001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 44789759992 + ... + 44789760008.

Almost surely, 2^761425920000 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 761425920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510917289200).

761425920000 is an abundant number, since it is smaller than the sum of its proper divisors (2260408658400).

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

761425920000 is an frugal number, since it uses more digits than its factorization.

761425920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 761425920000 in words is "seven hundred sixty-one billion, four hundred twenty-five million, nine hundred twenty thousand".