776972430 has 144 divisors (see below), whose sum is σ = 2283611616. Its totient is φ = 182856960.

The previous prime is 776972393. The next prime is 776972431. The reversal of 776972430 is 34279677.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (776972431) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 348720 + ... + 350940.

It is an arithmetic number, because the mean of its divisors is an integer number (15858414).

Almost surely, 2^776972430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 776972430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141805808).

776972430 is an abundant number, since it is smaller than the sum of its proper divisors (1506639186).

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

776972430 is a wasteful number, since it uses less digits than its factorization.

776972430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2283 (or 2267 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The square root of 776972430 is about 27874.2251910255. The cubic root of 776972430 is about 919.3238691584.

The spelling of 776972430 in words is "seven hundred seventy-six million, nine hundred seventy-two thousand, four hundred thirty".