772578048 has 144 divisors (see below), whose sum is σ = 2266387200. Its totient is φ = 231690240.

The previous prime is 772578043. The next prime is 772578077. The reversal of 772578048 is 840875277.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 772577988 and 772578006.

It is not an unprimeable number, because it can be changed into a prime (772578041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 920413 + ... + 921251.

It is an arithmetic number, because the mean of its divisors is an integer number (15738800).

Almost surely, 2^772578048 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 772578048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133193600).

772578048 is an abundant number, since it is smaller than the sum of its proper divisors (1493809152).

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

772578048 is a wasteful number, since it uses less digits than its factorization.

772578048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 878080, while the sum is 48.

The square root of 772578048 is about 27795.2882337996. The cubic root of 772578048 is about 917.5874281088.

The spelling of 772578048 in words is "seven hundred seventy-two million, five hundred seventy-eight thousand, forty-eight".