772361280 has 336 divisors, whose sum is σ = 2822496768. Its totient is φ = 193536000.

The previous prime is 772361207. The next prime is 772361297. The reversal of 772361280 is 82163277.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3660375 + ... + 3660585.

It is an arithmetic number, because the mean of its divisors is an integer number (8400288).

Almost surely, 2^772361280 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 772361280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411248384).

772361280 is an abundant number, since it is smaller than the sum of its proper divisors (2050135488).

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

772361280 is a wasteful number, since it uses less digits than its factorization.

772361280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 772361280 is about 27791.3885943110. The cubic root of 772361280 is about 917.5016019593.

It can be divided in two parts, 772361 and 280, that added together give a square (772641 = 879²).

The spelling of 772361280 in words is "seven hundred seventy-two million, three hundred sixty-one thousand, two hundred eighty".