772046144 has 56 divisors (see below), whose sum is σ = 1593738240. Its totient is φ = 370745856.

The previous prime is 772046137. The next prime is 772046147. The reversal of 772046144 is 441640277.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772046147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 185009 + ... + 189135.

Almost surely, 2^772046144 is an apocalyptic number.

772046144 is a gapful number since it is divisible by the number (74) 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 772046144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796869120).

772046144 is an abundant number, since it is smaller than the sum of its proper divisors (821692096).

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

772046144 is a wasteful number, since it uses less digits than its factorization.

772046144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4255 (or 4245 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 35.

The square root of 772046144 is about 27785.7183459417. The cubic root of 772046144 is about 917.3767997777.

The spelling of 772046144 in words is "seven hundred seventy-two million, forty-six thousand, one hundred forty-four".