772060400 has 60 divisors (see below), whose sum is σ = 1859488872. Its totient is φ = 308056320.

The previous prime is 772060361. The next prime is 772060403. The reversal of 772060400 is 4060277.

It is a super-2 number, since 2×772060400² = 1192154522496320000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 772060400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772060403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 175022 + ... + 179378.

Almost surely, 2^772060400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 772060400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929744436).

772060400 is an abundant number, since it is smaller than the sum of its proper divisors (1087428472).

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

772060400 is a wasteful number, since it uses less digits than its factorization.

772060400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4818 (or 4807 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 26.

The square root of 772060400 is about 27785.9748794243. The cubic root of 772060400 is about 917.3824462637.

The spelling of 772060400 in words is "seven hundred seventy-two million, sixty thousand, four hundred".