76442940 has 252 divisors, whose sum is σ = 282597336. Its totient is φ = 17309376.

The previous prime is 76442923. The next prime is 76442969. The reversal of 76442940 is 4924467.

76442940 is a `hidden beast` number, since 7 + 644 + 2 + 9 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

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 = 76442895 and 76442904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 714367 + ... + 714473.

It is an arithmetic number, because the mean of its divisors is an integer number (1121418).

Almost surely, 2^76442940 is an apocalyptic number.

76442940 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 76442940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141298668).

76442940 is an abundant number, since it is smaller than the sum of its proper divisors (206154396).

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

76442940 is a wasteful number, since it uses less digits than its factorization.

76442940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 76442940 is about 8743.1653307026. The cubic root of 76442940 is about 424.4036665370.

The spelling of 76442940 in words is "seventy-six million, four hundred forty-two thousand, nine hundred forty".