772002738 has 96 divisors (see below), whose sum is σ = 1895467392. Its totient is φ = 234057600.

The previous prime is 772002731. The next prime is 772002799. The reversal of 772002738 is 837200277.

772002738 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (772002731) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 447718 + ... + 449438.

It is an arithmetic number, because the mean of its divisors is an integer number (19744452).

Almost surely, 2^772002738 is an apocalyptic number.

772002738 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 772002738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947733696).

772002738 is an abundant number, since it is smaller than the sum of its proper divisors (1123464654).

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

772002738 is a wasteful number, since it uses less digits than its factorization.

772002738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1822 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 772002738 is about 27784.9372502441. The cubic root of 772002738 is about 917.3596071941.

The spelling of 772002738 in words is "seven hundred seventy-two million, two thousand, seven hundred thirty-eight".