77620080 has 80 divisors (see below), whose sum is σ = 247153824. Its totient is φ = 20136960.

The previous prime is 77620069. The next prime is 77620129. The reversal of 77620080 is 8002677.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4510 + ... + 13250.

Almost surely, 2^77620080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77620080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123576912).

77620080 is an abundant number, since it is smaller than the sum of its proper divisors (169533744).

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

77620080 is a wasteful number, since it uses less digits than its factorization.

77620080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8794 (or 8788 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 77620080 is about 8810.2258767866. The cubic root of 77620080 is about 426.5710343393.

The spelling of 77620080 in words is "seventy-seven million, six hundred twenty thousand, eighty".