772377840 has 240 divisors, whose sum is σ = 2815132320. Its totient is φ = 188651520.

The previous prime is 772377829. The next prime is 772377857. The reversal of 772377840 is 48773277.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1675210 + ... + 1675670.

It is an arithmetic number, because the mean of its divisors is an integer number (11729718).

Almost surely, 2^772377840 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 772377840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407566160).

772377840 is an abundant number, since it is smaller than the sum of its proper divisors (2042754480).

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

772377840 is a wasteful number, since it uses less digits than its factorization.

772377840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 460992, while the sum is 45.

The square root of 772377840 is about 27791.6865267295. The cubic root of 772377840 is about 917.5081592179.

The spelling of 772377840 in words is "seven hundred seventy-two million, three hundred seventy-seven thousand, eight hundred forty".