76020000 has 240 divisors, whose sum is σ = 286558272. Its totient is φ = 17280000.

The previous prime is 76019987. The next prime is 76020017. The reversal of 76020000 is 2067.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 419910 + ... + 420090.

Almost surely, 2^76020000 is an apocalyptic number.

76020000 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 76020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143279136).

76020000 is an abundant number, since it is smaller than the sum of its proper divisors (210538272).

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

76020000 is a wasteful number, since it uses less digits than its factorization.

76020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 76020000 is about 8718.9448902949. The cubic root of 76020000 is about 423.6195115139.

Adding to 76020000 its reverse (2067), we get a palindrome (76022067).

The spelling of 76020000 in words is "seventy-six million, twenty thousand".