770008129873920 has 3840 divisors, whose sum is σ = 3308416151040000. Its totient is φ = 171156029571072.

The previous prime is 770008129873897. The next prime is 770008129873937. The reversal of 770008129873920 is 29378921800077.

770008129873920 is a `hidden beast` number, since 7 + 70 + 0 + 0 + 81 + 29 + 87 + 392 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3362480916366 + ... + 3362480916594.

It is an arithmetic number, because the mean of its divisors is an integer number (861566706000).

Almost surely, 2^{770008129873920} is an apocalyptic number.

770008129873920 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 770008129873920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654208075520000).

770008129873920 is an abundant number, since it is smaller than the sum of its proper divisors (2538408021166080).

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

770008129873920 is a wasteful number, since it uses less digits than its factorization.

770008129873920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 63.

The spelling of 770008129873920 in words is "seven hundred seventy trillion, eight billion, one hundred twenty-nine million, eight hundred seventy-three thousand, nine hundred twenty".