772613680 has 80 divisors (see below), whose sum is σ = 1862023680. Its totient is φ = 297932544.

The previous prime is 772613629. The next prime is 772613731. The reversal of 772613680 is 86316277.

It is an interprime number because it is at equal distance from previous prime (772613629) and next prime (772613731).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 270339 + ... + 273181.

It is an arithmetic number, because the mean of its divisors is an integer number (23275296).

Almost surely, 2^772613680 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 772613680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931011840).

772613680 is an abundant number, since it is smaller than the sum of its proper divisors (1089410000).

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

772613680 is a wasteful number, since it uses less digits than its factorization.

772613680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2978 (or 2972 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The square root of 772613680 is about 27795.9291983556. The cubic root of 772613680 is about 917.6015345466.

The spelling of 772613680 in words is "seven hundred seventy-two million, six hundred thirteen thousand, six hundred eighty".