770042044178316 has 960 divisors, whose sum is σ = 2701324314501120. Its totient is φ = 185556047892480.

The previous prime is 770042044178311. The next prime is 770042044178399. The reversal of 770042044178316 is 613871440240077.

It is a happy number.

770042044178316 is a `hidden beast` number, since 7 + 7 + 0 + 0 + 4 + 204 + 417 + 8 + 3 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (770042044178311) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 5088184600 + ... + 5088335936.

It is an arithmetic number, because the mean of its divisors is an integer number (2813879494272).

Almost surely, 2^{770042044178316} is an apocalyptic number.

770042044178316 is a gapful number since it is divisible by the number (76) 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 770042044178316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350662157250560).

770042044178316 is an abundant number, since it is smaller than the sum of its proper divisors (1931282270322804).

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

770042044178316 is a wasteful number, since it uses less digits than its factorization.

770042044178316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151716 (or 151705 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 770042044178316 in words is "seven hundred seventy trillion, forty-two billion, forty-four million, one hundred seventy-eight thousand, three hundred sixteen".