76077540 has 216 divisors, whose sum is σ = 290472000. Its totient is φ = 15776640.

The previous prime is 76077517. The next prime is 76077541. The reversal of 76077540 is 4577067.

76077540 = T₃₀₁ + T₃₀₂ + ... + T₇₈₄.

76077540 = 1149² + 1150² + ... + 1203².

76077540 is a `hidden beast` number, since 7 + 607 + 7 + 5 + 40 = 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 = 76077495 and 76077504.

It is not an unprimeable number, because it can be changed into a prime (76077541) 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, 152211 + ... + 152709.

Almost surely, 2^76077540 is an apocalyptic number.

76077540 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 76077540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145236000).

76077540 is an abundant number, since it is smaller than the sum of its proper divisors (214394460).

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

76077540 is a wasteful number, since it uses less digits than its factorization.

76077540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 76077540 is about 8722.2439773260. The cubic root of 76077540 is about 423.7263646201.

The spelling of 76077540 in words is "seventy-six million, seventy-seven thousand, five hundred forty".