776061000 has 640 divisors, whose sum is σ = 3234591360. Its totient is φ = 171072000.

The previous prime is 776060981. The next prime is 776061031. The reversal of 776061000 is 160677.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 11582967 + ... + 11583033.

It is an arithmetic number, because the mean of its divisors is an integer number (5054049).

Almost surely, 2^776061000 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 776061000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617295680).

776061000 is an abundant number, since it is smaller than the sum of its proper divisors (2458530360).

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

776061000 is a wasteful number, since it uses less digits than its factorization.

776061000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 776061000 is about 27857.8714190442. The cubic root of 776061000 is about 918.9642565695.

It can be divided in two parts, 77606 and 1000, that added together give a triangular number (78606 = T₃₉₆).

The spelling of 776061000 in words is "seven hundred seventy-six million, sixty-one thousand".