776164032 has 280 divisors, whose sum is σ = 2674595616. Its totient is φ = 217976832.

The previous prime is 776164031. The next prime is 776164069. The reversal of 776164032 is 230461677.

776164032 is a `hidden beast` number, since 7 + 7 + 6 + 1 + 640 + 3 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (776164031) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2648878 + ... + 2649170.

Almost surely, 2^776164032 is an apocalyptic number.

776164032 is a gapful number since it is divisible by the number (72) 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 776164032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337297808).

776164032 is an abundant number, since it is smaller than the sum of its proper divisors (1898431584).

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

776164032 is a wasteful number, since it uses less digits than its factorization.

776164032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 776164032 is about 27859.7206016141. The cubic root of 776164032 is about 919.0049228468.

The spelling of 776164032 in words is "seven hundred seventy-six million, one hundred sixty-four thousand, thirty-two".