772401555855216 has 960 divisors, whose sum is σ = 2730820050616320. Its totient is φ = 198855650488320.

The previous prime is 772401555855211. The next prime is 772401555855301. The reversal of 772401555855216 is 612558555104277.

772401555855216 is a `hidden beast` number, since 7 + 7 + 2 + 4 + 0 + 1 + 5 + 558 + 55 + 21 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772401555855211) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8067904500 + ... + 8068000236.

It is an arithmetic number, because the mean of its divisors is an integer number (2844604219392).

Almost surely, 2^{772401555855216} is an apocalyptic number.

772401555855216 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 772401555855216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365410025308160).

772401555855216 is an abundant number, since it is smaller than the sum of its proper divisors (1958418494761104).

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

772401555855216 is a wasteful number, since it uses less digits than its factorization.

772401555855216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96042 (or 96033 counting only the distinct ones).

The product of its (nonzero) digits is 117600000, while the sum is 63.

The spelling of 772401555855216 in words is "seven hundred seventy-two trillion, four hundred one billion, five hundred fifty-five million, eight hundred fifty-five thousand, two hundred sixteen".