76920480 has 288 divisors, whose sum is σ = 323616384. Its totient is φ = 16201728.

The previous prime is 76920479. The next prime is 76920491. The reversal of 76920480 is 8402967.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130747 + ... + 131333.

It is an arithmetic number, because the mean of its divisors is an integer number (1123668).

Almost surely, 2^76920480 is an apocalyptic number.

76920480 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 76920480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161808192).

76920480 is an abundant number, since it is smaller than the sum of its proper divisors (246695904).

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

76920480 is a wasteful number, since it uses less digits than its factorization.

76920480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 76920480 is about 8770.4321444271. The cubic root of 76920480 is about 425.2855842948.

The spelling of 76920480 in words is "seventy-six million, nine hundred twenty thousand, four hundred eighty".