776755980 has 480 divisors, whose sum is σ = 3278499840. Its totient is φ = 148677120.

The previous prime is 776755943. The next prime is 776756033. The reversal of 776755980 is 89557677.

776755980 is a `hidden beast` number, since 7 + 7 + 6 + 7 + 559 + 80 = 666.

It is a Smith number, since the sum of its digits (54) 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1621381 + ... + 1621859.

It is an arithmetic number, because the mean of its divisors is an integer number (6830208).

Almost surely, 2^776755980 is an apocalyptic number.

776755980 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 776755980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639249920).

776755980 is an abundant number, since it is smaller than the sum of its proper divisors (2501743860).

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

776755980 is a wasteful number, since it uses less digits than its factorization.

776755980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 3704400, while the sum is 54.

The square root of 776755980 is about 27870.3423014501. The cubic root of 776755980 is about 919.2384924128.

The spelling of 776755980 in words is "seven hundred seventy-six million, seven hundred fifty-five thousand, nine hundred eighty".