376772087430 has 192 divisors, whose sum is σ = 1030525037568. Its totient is φ = 95401912320.

The previous prime is 376772087429. The next prime is 376772087431. The reversal of 376772087430 is 34780277673.

376772087430 is a `hidden beast` number, since 3 + 7 + 67 + 72 + 0 + 87 + 430 = 666.

It is an interprime number because it is at equal distance from previous prime (376772087429) and next prime (376772087431).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (376772087431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33704002 + ... + 33715178.

It is an arithmetic number, because the mean of its divisors is an integer number (5367317904).

Almost surely, 2^376772087430 is an apocalyptic number.

376772087430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 376772087430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515262518784).

376772087430 is an abundant number, since it is smaller than the sum of its proper divisors (653752950138).

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

376772087430 is a wasteful number, since it uses less digits than its factorization.

376772087430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11471 (or 11468 counting only the distinct ones).

The product of its (nonzero) digits is 8297856, while the sum is 54.

The spelling of 376772087430 in words is "three hundred seventy-six billion, seven hundred seventy-two million, eighty-seven thousand, four hundred thirty".