772131360 has 384 divisors, whose sum is σ = 3267661824. Its totient is φ = 148008960.

The previous prime is 772131323. The next prime is 772131377. The reversal of 772131360 is 63131277.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 63 ways as a sum of consecutive naturals, for example, 479677 + ... + 481283.

It is an arithmetic number, because the mean of its divisors is an integer number (8509536).

Almost surely, 2^772131360 is an apocalyptic number.

772131360 is a gapful number since it is divisible by the number (70) 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 772131360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1633830912).

772131360 is an abundant number, since it is smaller than the sum of its proper divisors (2495530464).

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

772131360 is a wasteful number, since it uses less digits than its factorization.

772131360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1656 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 30.

The square root of 772131360 is about 27787.2517532771. The cubic root of 772131360 is about 917.4105509146.

The spelling of 772131360 in words is "seven hundred seventy-two million, one hundred thirty-one thousand, three hundred sixty".