762768500130 has 512 divisors, whose sum is σ = 2552301158400. Its totient is φ = 157823437824.

The previous prime is 762768500057. The next prime is 762768500141. The reversal of 762768500130 is 31005867267.

762768500130 is a `hidden beast` number, since 7 + 6 + 2 + 7 + 6 + 8 + 500 + 130 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 304740459 + ... + 304742961.

It is an arithmetic number, because the mean of its divisors is an integer number (4984963200).

Almost surely, 2^762768500130 is an apocalyptic number.

762768500130 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 762768500130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1276150579200).

762768500130 is an abundant number, since it is smaller than the sum of its proper divisors (1789532658270).

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

762768500130 is a wasteful number, since it uses less digits than its factorization.

762768500130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2775 (or 2769 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 762768500130 in words is "seven hundred sixty-two billion, seven hundred sixty-eight million, five hundred thousand, one hundred thirty".