772376887296 has 552 divisors, whose sum is σ = 2652141989120. Its totient is φ = 211996901376.

The previous prime is 772376887283. The next prime is 772376887307. The reversal of 772376887296 is 692788673277.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (597445632) is a multiple of the sum of its prime divisors (128).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 9776922585 + ... + 9776922663.

Almost surely, 2^772376887296 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 772376887296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326070994560).

772376887296 is an abundant number, since it is smaller than the sum of its proper divisors (1879765101824).

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

772376887296 is an frugal number, since it uses more digits than its factorization.

772376887296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 128 counting only the distinct ones).

The product of its digits is 597445632, while the sum is 72.

The spelling of 772376887296 in words is "seven hundred seventy-two billion, three hundred seventy-six million, eight hundred eighty-seven thousand, two hundred ninety-six".