76461840 has 320 divisors, whose sum is σ = 324979200. Its totient is φ = 16091136.

The previous prime is 76461839. The next prime is 76461851. The reversal of 76461840 is 4816467.

76461840 is a `hidden beast` number, since 7 + 646 + 1 + 8 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 76461795 and 76461804.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 196366 + ... + 196754.

It is an arithmetic number, because the mean of its divisors is an integer number (1015560).

Almost surely, 2^76461840 is an apocalyptic number.

76461840 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 76461840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162489600).

76461840 is an abundant number, since it is smaller than the sum of its proper divisors (248517360).

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

76461840 is a wasteful number, since it uses less digits than its factorization.

76461840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 76461840 is about 8744.2461081559. The cubic root of 76461840 is about 424.4386406337.

The spelling of 76461840 in words is "seventy-six million, four hundred sixty-one thousand, eight hundred forty".