772763040 has 288 divisors, whose sum is σ = 3112252416. Its totient is φ = 170864640.

The previous prime is 772762997. The next prime is 772763063. The reversal of 772763040 is 40367277.

772763040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 772762986 and 772763004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 311244 + ... + 313716.

It is an arithmetic number, because the mean of its divisors is an integer number (10806432).

Almost surely, 2^772763040 is an apocalyptic number.

772763040 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 772763040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556126208).

772763040 is an abundant number, since it is smaller than the sum of its proper divisors (2339489376).

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

772763040 is a wasteful number, since it uses less digits than its factorization.

772763040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2532 (or 2521 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The square root of 772763040 is about 27798.6157928772. The cubic root of 772763040 is about 917.6606603159.

The spelling of 772763040 in words is "seven hundred seventy-two million, seven hundred sixty-three thousand, forty".