770072486400 has 960 divisors, whose sum is σ = 3279235829760. Its totient is φ = 173352960000.

The previous prime is 770072486399. The next prime is 770072486453. The reversal of 770072486400 is 4684270077.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 162084025 + ... + 162088775.

It is an arithmetic number, because the mean of its divisors is an integer number (3415870656).

Almost surely, 2^770072486400 is an apocalyptic number.

770072486400 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 770072486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639617914880).

770072486400 is an abundant number, since it is smaller than the sum of its proper divisors (2509163343360).

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

770072486400 is a wasteful number, since it uses less digits than its factorization.

770072486400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4862 (or 4835 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 770072486400 in words is "seven hundred seventy billion, seventy-two million, four hundred eighty-six thousand, four hundred".